### All Common Core: High School - Functions Resources

## Example Questions

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

Graph the following function

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.

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

Graph the following function.

**Possible Answers:**

**Correct answer:**

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

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.