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HPC Unit 1 Test Version B

Last updated almost 2 years ago

22 questions

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Question 17

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Question 1

1.

Identify the domain of f(x) in interval notation. Use inf for infinity.

(-inf, 6) U (6, inf)

(-inf, inf)

[6, inf)

(6, inf)

Question 2

2.

Find f + g.

2x

2x - 4

4x - 4

4x

Question 3

3.

Which parent function has an inverse that is a function?

Absolute Value

Cubic

Quadractic

Sine

Question 4

4.

What is the parent function of f(x)?

Sine

Cubic

Quadractic

Absolute Value

Question 5

5.

Identify the absolute minimum of f(x).

(4, 5)

(-4, 5)

(-4, -5)

(4, -5)

Question 6

6.

State the domain of the relation in interval notation. Use inf for infinity.

Question 7

7.

State the range of the relation in interval notation. Use inf for infinity.

Question 8

8.

Is the relation a function? Explain your reasoning.

Question 9

9.

Identify the open interval(s) on which the relation is increasing. Use inf for infinity.

(-inf, -6)

Question 10

10.

Identify the open interval(s) on which the relation is decreasing. Use inf for infinity.

(-inf, -6)

Question 11

11.

Identify the open interval(s) on which the relation is constant. Use inf for infinity.

(-inf, -6)

Question 12

12.

Is f(x) even, odd, or neither? Justify your reasoning alegbraically.

Question 13

13.

The function g(x) has a vertical asympote at x = 0.

True

False

Question 14

14.

The function g(x) is not bounded below.

True

False

Question 15

15.

The function g(x) is always decreasing on its domain.

True

False

Question 16

16.

Graph f(x).

Find fg.

Question 18

18.

State the domain of fg in interval notation. Use inf for infinity.

Question 19

19.

Find f(g(x).

Question 20

20.

State the domain of f(g(x)) in interval notation. Use inf for infinity.

Question 21

21.

Graph f(x) and its inverse.

Question 22

22.

Is the inverse of f(x) a function? Explain your reasoning. Please do not use the word "it" in your response here.

(-6, -4)

(-4, 4)

(4, 6)

(6, inf)

(-6, -4)

(-4, 4)

(4, 6)

(6, inf)

(-6, -4)

(-4, 4)

(4, 6)

(6, inf)