SAT II Math II : X-intercept and y-intercept

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

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Example Questions

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:

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

This gives a final answer of y=-12

Example Question #22 : 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 #23 : X Intercept And Y Intercept

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 #24 : 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 #23 : X Intercept And Y Intercept

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 #26 : X Intercept And Y Intercept

Define .

Give the -coordinate of the -intercept of the graph of  (nearest hundredth).

Possible Answers:

The graph of  has no -intercept.

Correct answer:

The graph of  has no -intercept.

Explanation:

Evaluate :

A negative number cannot have a logarithm, so  is an undefined expression. Therefore, the graph of  has no -intercept.

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