SAT II Math II : Properties of Functions and Graphs

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

Example Question #31 : Functions And Graphs

Find the y-intercept of the following equation:

Possible Answers:

Correct answer:

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

Divide both sides by 6 to get y by itself:

This gives a final answer of y=15/6

 

Example Question #31 : Functions And Graphs

Find the y-intercept of the following equation:

Possible Answers:

Correct answer:

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

Divide both sides by 2 to get y by itself:

This gives a final answer of y=3/2

Example Question #32 : Functions And Graphs

Find the y-intercept of the following equation:

Possible Answers:

Correct answer:

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

Divide both sides by -1 to get y by itself:

This gives a final answer of y=-12

Example Question #21 : X Intercept And Y Intercept

Find the y-intercept of the following equation:

Possible Answers:

Correct answer:

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

This gives a final answer of y=2

Example Question #31 : Functions And Graphs

What is the y-intercept of the following equation?  

Possible Answers:

Correct answer:

Explanation:

Rewrite the equation in slope-intercept form:

Our objective is to determine the value of , which represents the y-intercept.

Add two on both sides.

Divide by 2 on both sides.

The value of .

Example Question #21 : X Intercept And Y Intercept

What is the y-intercept of the following?  

Possible Answers:

Correct answer:

Explanation:

The y-intercept is the value of  when .

Substitute the value of  into the given equation.

The answer is:  

Example Question #241 : Sat Subject Test In Math Ii

What is the x-intercept of the equation ?

Possible Answers:

Correct answer:

Explanation:

The x-intercept is the value of x when .

Add two on both sides, and then divide both sides by three.

The answer is:  

Example Question #1 : Slope

What is the slopeof the line between the points (-1,0)  and (3,5)?

Possible Answers:

Correct answer:

Explanation:

For this problem we will need to use the slope equation:

In our case  and 

Therefore, our slope equation would read:

Example Question #2 : Slope

What is the slope of the function 

Possible Answers:

6

3

4

2

Correct answer:

2

Explanation:

To find the slope of this function we first need to get it into slope-intercept form

 where 

To do this we need to divide the function by 3:

From here we can see our m, which is our slope equals 2

Example Question #3 : Slope

What is the slope for the line having the following points: (1, 5), (2, 8), and (3, 11)?

Possible Answers:

2

3

4

5

Correct answer:

3

Explanation:

To find the slope for the line that has these points we will use the slope formula with two of the points.

In our case  and 

Now we can use the slope formula:

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