Common Core: High School - Functions : Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Study concepts, example questions & explanations for Common Core: High School - Functions

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All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #1 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function

Possible Answers:

Screen shot 2016 01 12 at 3.00.23 pm

Screen shot 2016 01 13 at 9.26.38 am

Screen shot 2016 01 13 at 9.26.03 am

Screen shot 2016 01 13 at 9.25.36 am

Screen shot 2016 01 13 at 9.26.23 am

Correct answer:

Screen shot 2016 01 12 at 3.00.23 pm

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid

Screen shot 2016 01 13 at 9.20.36 am

Step 3: Connect the points with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than negative four will be in the domain.

Screen shot 2016 01 12 at 3.00.23 pm

Example Question #2 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 12 at 3.00.23 pm

Screen shot 2016 01 13 at 9.25.36 am

Screen shot 2016 01 23 at 8.33.58 am

Screen shot 2016 01 13 at 9.26.03 am

Screen shot 2016 01 13 at 9.26.38 am

Correct answer:

Screen shot 2016 01 23 at 8.33.58 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid

Screen shot 2016 01 23 at 8.48.27 am

Step 3: Connect the points with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values more than two will be in the domain.

Screen shot 2016 01 23 at 8.33.58 am

Example Question #3 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 13 at 9.26.38 am

Screen shot 2016 01 23 at 8.35.09 am

Screen shot 2016 01 23 at 8.33.58 am

Screen shot 2016 01 13 at 9.25.36 am

Screen shot 2016 01 12 at 3.00.23 pm

Correct answer:

Screen shot 2016 01 23 at 8.35.09 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid

Screen shot 2016 01 25 at 4.54.36 pm

Step 3: Connect the points with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values greater than one will be in the domain.

Screen shot 2016 01 23 at 8.35.09 am

Example Question #4 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 23 at 8.33.58 am

Screen shot 2016 01 12 at 3.00.23 pm

Screen shot 2016 01 23 at 8.35.41 am

Screen shot 2016 01 13 at 9.25.36 am

Screen shot 2016 01 23 at 8.35.09 am

Correct answer:

Screen shot 2016 01 23 at 8.35.41 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than zero will be in the domain.

Screen shot 2016 01 23 at 8.35.41 am

Example Question #5 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 13 at 9.26.38 am

Screen shot 2016 01 23 at 8.36.02 am

Screen shot 2016 01 12 at 3.00.23 pm

Screen shot 2016 01 23 at 8.33.58 am

Screen shot 2016 01 23 at 8.35.41 am

Correct answer:

Screen shot 2016 01 23 at 8.36.02 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than negative two will be in the domain.

Screen shot 2016 01 23 at 8.36.02 am

Example Question #6 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 13 at 9.26.38 am

Screen shot 2016 01 23 at 8.35.09 am

Screen shot 2016 01 23 at 8.36.21 am

Screen shot 2016 01 12 at 3.00.23 pm

Screen shot 2016 01 13 at 9.25.36 am

Correct answer:

Screen shot 2016 01 23 at 8.36.21 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than two will be in the domain.

Screen shot 2016 01 23 at 8.36.21 am

Example Question #7 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 23 at 8.35.41 am

Screen shot 2016 01 23 at 8.36.21 am

Screen shot 2016 01 23 at 8.36.43 am

Screen shot 2016 01 23 at 8.33.58 am

Screen shot 2016 01 12 at 3.00.23 pm

Correct answer:

Screen shot 2016 01 23 at 8.36.43 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than three will be in the domain.

Screen shot 2016 01 23 at 8.36.43 am

Example Question #8 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 23 at 8.36.43 am

Screen shot 2016 01 23 at 8.37.07 am

Screen shot 2016 01 13 at 9.26.38 am

Screen shot 2016 01 12 at 3.00.23 pm

Screen shot 2016 01 23 at 8.35.09 am

Correct answer:

Screen shot 2016 01 23 at 8.37.07 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than zero will be in the domain.

Screen shot 2016 01 23 at 8.37.07 am

Example Question #9 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 23 at 8.36.43 am

Screen shot 2016 01 13 at 9.26.03 am

Screen shot 2016 01 23 at 8.35.09 am

Screen shot 2016 01 23 at 8.37.22 am

Screen shot 2016 01 12 at 3.00.23 pm

Correct answer:

Screen shot 2016 01 23 at 8.37.22 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than zero will be in the domain.

Screen shot 2016 01 23 at 8.37.22 am

Example Question #10 : Graph Square Root, Cube Root, And Piecewise Functions: Ccss.Math.Content.Hsf If.C.7b

Graph the following function.

Possible Answers:

Screen shot 2016 01 12 at 3.00.23 pm

Screen shot 2016 01 23 at 8.37.44 am

Screen shot 2016 01 23 at 8.33.58 am

Screen shot 2016 01 13 at 9.26.03 am

Screen shot 2016 01 23 at 8.37.22 am

Correct answer:

Screen shot 2016 01 23 at 8.37.44 am

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Make a table of  coordinates for the function.

The values in the table are found by substituting in the x values into the function as follows.

Step 2: Plot the points on a coordinate grid and connect them with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than one half will be in the domain.

Screen shot 2016 01 23 at 8.37.44 am

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All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept
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