Free Printable PAP - Unit 2 Test Review

1.

Which statements are true, given that f(x) is one-to-one?

Choose all that apply.

a)

If f(1) = 6 then $\ f^{-1}\left(1\right)=-6.$

b)

If f(1) = 6 then $f^{-1}\left(6\right)=1.$

c)

f(5) = 1 and f(5)=8 could both be values of the function.

d)

f(-2)=4 and f(2)=4 could both values of the function.

e)

None are true.

2.

Given a one-to-one function f(x), select all that must be true.

a)

If f(2)=7 $f^{-1}(7)=2.$

b)

If f(2) = -8 then $f^{-1}(-8)=-2$

c)

f(2) = 0 and f(2) = 7 could both be values.

d)

f(7) = 3 and f(-7) = -2 could both be values.

e)

f(2) = 8 and f(4) = 8 could both be values.

3.

$If\ f\left(x\right)=x^2-4x\ ,\ then\ find\ f\left(-1\right).$

(a)

4.

Simplify: $x\left(2x-3\right)+6\left(x-0.5\right)-\left(2x^2-5\right)$

Do not enter any extra spaces in your answer!

(a)

5.

Which of the following is/are TRUE? Choose all that apply.

a)

f(x) is decreasing on the interval (-5,-4) U (0, 2)

b)

The range of f(x) is [-3,2]

c)

f(4) = 2

d)

f(x) > 0 on the interval (-2, 4)

6.

Which of the following is/are TRUE given the graph? Select all that apply.

a)

f(-2) = -2

b)

f(x) > 0 on the interval [-1, ∞)

c)

-2(f(1)) - f(3) < -2f(5)

d)

f(x) is increasing on the interval (-∞,1]

7.

Given the table of values for the two discrete functions f(x) and g(x), what is the value of $\left[3f\left(-3\right)-2g\left(3\right)\right]?$

(a)

8.

What is the minimum value in the range of the function f(x)?

(a)

9.

If $p\left(x\right)=4\left(x+2\right)-3x$ then for what value of x is $p\left(x\right)=\left(f\cdot g\right)\left(0\right)?$

Do not enter x = in your answer.

(a)

10.

Given the following discrete functions, f(x) and g(x), select all that are true.

a)

$f^{-1}\left(x\right)$ exists because f(x) is one-to-one

b)

$f\left(x\right)\cdot g\left(x\right)<0\$ when x = 0

c)

The range of g(x) is [-4,8]

11.

If $h\left(x\right)=\frac{5x-2}{3}$ then for what value of x is h(x) = g(4)? Given the graph of g(x).

Do not enter x = in your answer.

(a)

12.

If $p(x)=3x-6(x+2k)+k-9$ , then for what value of k is p(-2) = [g(4) - g(-5)]?

Do not enter k = in your answer.

(a)

13.

At which of the following value(s) is $\left[f\left(x\right)\cdot g\left(x\right)\right]>0?$

Choose all that apply.

a)

x = -5

b)

x = -3

c)

x = 0

d)

x = 3

14.

(a)

15.

Which of the following is/are true? Choose all that apply.

a)

f(x) is increasing on the interval (-4, 0) U (2, 4)

b)

f(x) < 0 for all values on the interval (-5, -2)

c)

The range of f(x) is (-3, 2].

d)

f(x) > 0 on the interval (-2,4)

16.

a)

The domain of H(x) is {-5, -3,0,1,4}

b)

The range of H(x) is [-2, 7]

c)

The minimum value of the range is -2

d)

H(x) is a function.

17.

Which of the following graphs do NOT represent one-to-one functions? Choose all that apply.

a)

b)

c)

d)

18.

If $f\left(x\right)=\sqrt{4-x}+2$ then what is the value of f(-5) + g(0), given the graph of g(x)?

(a)

19.

Find the value of (f - g)(3) if $f\left(x\right)=x^2+2$ given the graph of g(x).

(a)

20.

Given the continous function f(x):

What is the domain of the function f(x)?

Do not enter any extra spaces in your answer!

(a)

21.

Given the continous function f(x),

What is the range of the function f(x)?

Do not enter any extra spaces in your answer!

(a)

22.

How many times does the graph that represents f(x) cross or on the x-axis?

(a)

23.

If $p\left(x\right)=7-2\left(m-3x\right)-5m$ , for what value of m does $p\left(3\right)=f\left(-1\right)-f\left(4\right)$ ?

Do not enter m = in your answer.

(a)

24.

Given the graph of g(x), for what interval along the x-axis is g(x) > 0?

Do not enter any extra spaces in your answers.

(a)

25.

Given the graph of g(x), for what interval along the x-axis is g(x) < 0?

Do not enter any extra spaces in your answers.

(a)

PAP - Unit 2 Test Review

Total questions: 25

Worksheet time: 6hrs 1mins

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