Review for EFHS

Question 1

Draw the Mapping Diagram of these points and tell me if it is a function. Why or why not?
{(1 , 3), (1 , 0), (1 , -2), (1 , 8)}

Answer 1

No, the x value is paired with multiple y values.

Question 2

What is the name of this parent function? Give an example function.

Answer 2

A Cubic Function;

f(x) = x^3 + 3

Question 3

Is this mapping diagram a function? Why or why not?

Answer 3

Yes, each x value is only paired with one y value.

Question 4

When f(x) = 3x + 10, find f(x) when x = -2 and x = 3.

Answer 4

f(x) = 4 when x = -2
f(x) = 19 when x = 3

Question 5

When f(x) = x^2 + 6, find f(x) when x = 4 and x = -4.

Answer 5

f(x) = 22 when x = 4 and when x = -4

Question 6

What is the name of this parent function? Give an example function.

Answer 6

A Linear Function

f(x) = x + 2

Question 7

Draw the Mapping Diagram of these points and tell me if it is a function. Why or why not?
{(-1 , 0), (3 , 2), (4 , 7)}

Answer 7

Yes, each x value is only paired with one y value.

Question 8

Draw a Quadratic Function and give any example function with it.

Answer 8

f(x) = x^2 - 1

Question 9

When f(x) = 1/2*(x) + 2, find f(x) when x = 6 and x = 10.

Answer 9

f(x) = 5 when x = 6 
f(x) = 7 when x = 10

Question 10

Is this mapping diagram a function? Why or why not?

Answer 10

Yes, each x value is only paired with on y value.

Question 11

When f(x) = 2x^2 - 1, find f(x) when x = -1, x = 0, and x = 3.

Answer 11

f(x) = 1 when x = -1
f(x) = -1 when x = 0
f(x) = 17 when x = 3

Question 12

Graph the function f(x) = 2x - 3 and tell me its parent function.

Answer 12

Linear

Question 13

Graph the function f(x) = x^3 + 4 and tell me its parent function.

Answer 13

Cubic

Question 14

Draw the Mapping Diagram of these points and tell me if it is a function. Why or why not?
{(-5 , -3), (-3 , 0), (0 , 1), (0 , 3)}

Answer 14

No, because when x = 0, it has multiple y values.

Question 15

When f(x) = -x + 4, find f(x) when x = -2 and x = 3.

Answer 15

f(x) = 6 when x = -2
f(x) = 1 when x = 3

Question 16

Is this mapping diagram a function? Why or why not?

Answer 16

Yes, because each x value is only paired with one y value.

Question 17

What is the name of this parent function and give an example function of it.

Answer 17

Square Root

Question 18

When f(x) = x^3 - 1, find f(x) when x = -1, x = 2, and x = 3.

Answer 18

f(x) = -2 when x = -1
f(x) = 7 when x = 2
f(x) = 26 when x = 3

Question 19

Draw the function f(x) = 2 and tell me what its parent function is called.

Answer 19

Constant

Question 20

Graph these points and tell me what its parent function is:

{(0 , 0), (1 , 4), (4 , 6), (9 , 6), (16 , 8)}

Answer 20

Square Root