X-intercept and y-intercept

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SAT Subject Test in Math II › X-intercept and y-intercept

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1

Find the x-intercept of the following equation:

CORRECT

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Explanation

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

Subtract 2x from both sides, then divide by -2 to get x by itself:

This gives a final answer of x=-3

2

Find the x-intercept of the following equation:

CORRECT

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Explanation

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

Divide by 2 to get x by itself:

This gives a final answer of x=6

3

What is the y-intercept of the following equation?

CORRECT

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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 .

4

Find the x-intercept of the following equation:

CORRECT

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Explanation

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

Subtract 4x from both sides, then divide by -4 to get x by itself:

This gives a final answer of x=4

5

Define .

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

The graph of has no -intercept.

CORRECT

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Explanation

Evaluate :

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

6

What is the x-intercept of the equation ?

CORRECT

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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:

7

Define

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

CORRECT

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The graph of has no -intercept.

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Explanation

Evaluate :

8

What is the x-intercept and y-intercept of:

x-intercept= 4

y-intercept= -8

CORRECT

x-intercept=-8

y-intercept=4

0

x-intercept=2

y-intercept=-4

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x-intercept = 1

y-intercept = -2

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Explanation

The x-intercept is the value of x that will result in the y value equalling zero and the y-intercept is the y value that results when the x equals zero.

Therefore we replace x with zero to find the y-intecerpt.

Now we replace the y with a zero and find our x-intercept

9

Define

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

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The graph of has no -intercept.

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Explanation

Set and solve for :

10

Find the intercept of the function.

CORRECT

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Explanation

The function will cross the x axis when the y coordinate is equal to zero. To find the x intercept plug in the value zero for y and then solve the equation for x. This will be the x coordinate where the function crosses the x-axis, or the x intercept.