Question 1

What is the domain of the function shown in the graph?

Accepted Answer

(-∞,∞)

Answer

[6.∞)

Answer

[-∞,6]

Answer

[-∞, 0]

Question 2

On what interval is the function increasing?

Accepted Answer

(-1, ∞)

Answer

(-∞,  1)

Answer

(1, ∞)

Answer

(-∞, -1)

Question 3

The function in the graph is decreasing on the following interval

Accepted Answer

(-∞, -2)

Answer

(-∞, 1)

Answer

(1, ∞)

Answer

(1, - ∞)

Question 4

What is the domain of the function represented by the graph?

Accepted Answer

All real numbers

Answer

(-∞, 2)

Answer

(1 ,∞)

Answer

(-2, ∞)

Question 5

What is the range of the function represented by the graph?

Accepted Answer

[1, ∞)

Answer

[-1, ∞]

Answer

(1, ∞)

Answer

(-1, ∞)

Question 6

What is the function for this graph along with the restrictions on the domain?

Accepted Answer

f(x) = 2x - 1 Domain:  -1 ≤ x ≤ 2

Answer

f(x) = 2x - 1    Domain    -3 ≤ x ≤ 3

Answer

f(x) = -2x - 1 Domain  -1 ≤ x ≤ 2

Answer

f(x) = 1/2  x - 1   Domain    -1 ≤ x ≤ 2

Question 7

Which one represents the function and its range?

Accepted Answer

f(x) = 2x - 1     Range:  [-3, 3]

Answer

f(x) = (1/2)x -1    Range:   (-3, 3)

Answer

f(x) = 2x -1    Range:   (-3, 3)

Answer

(f(x) = 2x -1    Range:   [-2, 2]

Question 8

What is the function for the graph?

Accepted Answer

f(x) = -(1/2) x + 3

Answer

f(x) = 2 x + 3

Answer

f(x) = -2 x + 3

Answer

f(x) = (1/2) x + 3

Question 9

What are the solutions to the equation   3|x - 2| > 9

Accepted Answer

x > 5 or x < -1

Answer

x > -11 or x > -7

Answer

x < -5 or x > -1

Answer

x > -11 or x < 7

Question 10

Solve the equation

Accepted Answer

y = 22 or -2

Answer

y = -22 or 2

Answer

y = -22 or -2

Answer

y = 22 or 2

Question 11

What is the solution to the inequality?

Accepted Answer

k ≥ 18 and k ≤  12

Answer

k ≤ 18 and k ≤  12

Answer

k ≥ -18 and k ≤ -12

Answer

k ≥ 18 and k  ≥ 12

Question 12

What is the end behavior of the function in the graph.  As x approaches -∞?

Accepted Answer

f(x) approaches -∞

Answer

f(x) approaches ∞

Answer

f(x) approaches 1

Answer

f(x) approaches 0

Question 13

What is the end behavior of the graph?  As x approaches ∞, f(x) approaches ?

Accepted Answer

∞

Answer

-∞

Answer

1

Answer

0

Question 14

Where is the local relative minimum in the graph?

Accepted Answer

(-2, -4)

Answer

(1, 5)

Answer

(-2, 4)

Answer

(-1, 5)

Question 15

On what interval is the graph decreasing?

Accepted Answer

(-∞, -2) Ụ (1, ∞)

Answer

(-5, -2) Ụ (1, 6)

Answer

(2, 1)

Answer

(-∞, -2)

Question 16

What is the average rate of change on the interval x = 2 and x = 4?

Accepted Answer

-2

Answer

2

Answer

1/2

Answer

-1/2

Question 17

Given f(x) = |x|, if you had a vertical transformation up 3 and a horizontal translation left 4 spaces, what would the new function be?

Accepted Answer

g(x) = |x + 4| + 3

Answer

g(x) = |x  - 4| + 3

Answer

g(x) = 3|x + 4|

Answer

g(x) = |x + 4| - 3

Question 18

What would the transformed function of f(x) be if you compressed it by .5 and moved it to the right 3 and then moved it down 2?

Accepted Answer

.5f(x -3) - 2

Answer

.5f(x + 3) - 2

Answer

5f(x -3) - 2

Answer

3f(x - .5) - 2

Question 19

If you transformed a function f(x) by reflecting it over the x-axis, stretched it by a factor of 4, moved it to the right 3, and moved it up 5, what would the transformed function be?

Accepted Answer

- 4f(x - 3) + 5

Answer

4f(x - 3) + 5

Answer

- 4f(x - 5) + 3

Answer

-( 1/4)f(x - 3) + 5

Question 20

Solve the absolute value function.

Accepted Answer

No solution

Answer

s = -3 or 3

Answer

s = 2 or -2

Answer

s = 3

Question 21

Solve the absolute value equation.   5n - 3 = |n + 9|

Accepted Answer

3 and an extraneous solution

Answer

3 and 1

Answer

4 and an extraneous solution

Answer

-3 and 3

Question 22

Find the solutions using your calculator to 2|x - 5| = 10.  Remember you can graph both sides of the equation in y= and see where they intersect.

Accepted Answer

x = 10 or 0

Answer

x = -10 or 0

Answer

x = -5 or 10

Answer

x = 5 or 10

Question 23

What is the solution set for |6x-9| > 12

Accepted Answer

x > 7/2  and x < -1/2

Answer

x > 7/2  and x > 1/2

Answer

x > 7/2  and x > -1/2

Answer

x > 7/2  and x < 1/2

Question 24

What is the inverse of the function f(x) =1.8x - 3 + 2.2x - 1.  Hint:  Simplify it first.

Accepted Answer

Inverse function is  $(1/4)x + 1$

Answer

Inverse function is $2x + 1$

Answer

Inverse function is $-2x + 1$

Answer

Inverse function is $(1/4)x - 1$

Question 25

Find the inverse function  of f(x) = 2x + 1

Accepted Answer

The inverse function is (1/2)x - (1/2)

Answer

The inverse function is 2x - 1

Answer

The inverse function is 2x + 1

Answer

The inverse function is (1/2x) + (1/2)

Question 26

Find the inverse of the function f(x) = (3/4)x - 1

Accepted Answer

(4/3)x + (4/3)

Answer

(4/3)x - (4/3)

Answer

3x - 2

Answer

(3/4)x - (3/4)

Question 27

Is this function even, odd or neither?

Accepted Answer

Odd

Answer

Even

Answer

Neither

Question 28

Is the function even or odd or neither?

Accepted Answer

Neither

Answer

Even

Answer

Odd

Question 29

Is the function even or odd or neither?

Accepted Answer

Even

Answer

Neither

Answer

Odd

Question 30

Is the function $x^4 + x^2 + 3$  even, odd or neither?

Accepted Answer

Neither

Answer

Graph it using your calculator and see if it is symmetry over the y-axis (even) or if you can rotate it 180 degrees about the origin and still have the same graph.

Answer

Odd

Answer

Even

Question 31

Is this function even, odd or neither?    x^3 - 3

Accepted Answer

Neither

Answer

Odd

Answer

Graph it using your calculator and see if it is symmetry over the y-axis (even) or if you can rotate it 180 degrees about the origin and still have the same graph.

Answer

Even

Question 32

Is f(x) = 2x - 5 the inverse of g(x) = (x + 5)/2?

Accepted Answer

yes

Answer

no

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