### All SAT II Math II Resources

## Example Questions

### Example Question #11 : X Intercept And Y Intercept

Define .

Give the -coordinate of the -intercept of the graph of .

**Possible Answers:**

The graph of has no -intercept.

**Correct answer:**

The graph of has no -intercept.

Set and solve for :

This equation has no solution, since a principal even root of a real number must be positive.

The graph of has no -intercept.

### Example Question #21 : Properties Of Functions And Graphs

Define

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

**Possible Answers:**

The graph of has no -intercept.

**Correct answer:**

Set and solve for :

### Example Question #21 : Functions And Graphs

Define

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

**Possible Answers:**

The graph of has no -intercept.

**Correct answer:**

Evaluate :

### Example Question #14 : 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.

Evaluate :

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

### Example Question #21 : Functions And Graphs

Find the intercept of the function.

**Possible Answers:**

**Correct answer:**

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.

### Example Question #21 : Functions And Graphs

Find the x-intercept of the following equation:

**Possible Answers:**

**Correct answer:**

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

### Example Question #22 : Functions And Graphs

Find the x-intercept of the following equation:

**Possible Answers:**

**Correct answer:**

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

### Example Question #23 : Functions And Graphs

Find the x-intercept of the following equation:

**Possible Answers:**

**Correct answer:**

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

### Example Question #24 : Functions And Graphs

Find the x-intercept of the following equation:

**Possible Answers:**

**Correct answer:**

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

Divide by 6 to get x by itself:

This gives a final answer of x=5/6

### Example Question #31 : Functions And Graphs

Find the y-intercept of the following equation:

**Possible Answers:**

**Correct answer:**

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

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