Quiz about Pre-Calc Unit 1B Review - Piecewise Functions

Question 1

What equations is shown for $$x<-2$$ ?

Accepted Answer

$$y=-\left|x+4\right|+3$$

Answer

$$y=x$$

Answer

$$y=\left(x-4\right)^3$$

Answer

$$y=x^2$$

Question 2

The graph of m(x) is given. What is the range?

Accepted Answer

$$\left(-2,\infty\right)$$

Answer

$$\left(-2,4\right]$$

Answer

$$\left(\infty,\infty\right)$$

Answer

$$\left(-2,4\right)\cup\left(4,\infty\right)$$

Question 3

The graph of h(x) is given. What is the domain?

Accepted Answer

$$\left(-8,6\right]$$

Answer

$$\left[-8,6\right)$$

Answer

$$\left[2,8\right)$$

Answer

$$\left(2,8\right]$$

Question 4

What is the domain of the middle portion of the graph?

Accepted Answer

$$-2<x\le4$$

Answer

$$-1\le x\le3$$

Answer

$$-2\le x<4$$

Answer

$$x\le4$$

Question 5

Which graph represents the functions g(x)?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 6

Question 6.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 7

Which of the following graphs does NOT represent a function?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 8

The figure shows function g(x).

On what interval is the function decreasing?

Accepted Answer

$$\left(-\infty,-6\right)$$

Answer

$$\left(-6,-4\right)$$

Answer

$$\left[-4,\infty\right)$$

Answer

$$\left(-10,-6\right)$$

Question 9

A DJ charges $55 per hour for the first 4 hours to play music at a party. After 4 hours, she charges 2.5 times her hourly rate for every hour over 4 hours. Which of the following piecewise defined functions represents how much she would get paid, P(h), for playing music at a party for h number of hours?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 10

Define the domain of $$-\frac{1}{2}\left(x+4\right)^2+4$$ of the piecewise function.

Accepted Answer

$$x<-2$$

Answer

$$-2\le x<4$$

Answer

$$x>4$$

Answer

$$x\le4$$

Question 11

Define the domain of $$\frac{1}{2} ext{|x|-6}$$ of the piecewise function.

Accepted Answer

$$-2\le x<4$$

Answer

$$x<-2$$

Answer

$$x>4$$

Answer

$$-6\le x<-4$$

Question 12

Define the domain of $$2\sqrt[]{x-4}+2$$ of the piecewise function.

Accepted Answer

$$x\ge4$$

Answer

$$x<-2$$

Answer

$$-2\le x<4$$

Answer

$$4\le x\le7$$

Question 13

An odd function has symmetry with respect to the ___________.

Accepted Answer

origin

Answer

y-axis

Answer

x-axis

Answer

the line y=x

Question 14

An even function has symmetry with respect to the ___________.

Accepted Answer

y-axis

Answer

origin

Answer

x-axis

Answer

the line y=x

Question 15

Odd functions (always/sometimes/never) pass through the origin.

Accepted Answer

sometimes

Answer

always

Answer

never

Question 16

Even functions (always/sometimes/never) pass through the origin.

Accepted Answer

sometimes

Answer

always

Answer

never

Question 17

Is the given graph even, odd, or neither.

Accepted Answer

Even

Answer

Odd

Answer

Neither

Question 18

Is the given graph even, odd, or neither.

Accepted Answer

Neither

Answer

Even

Answer

Odd

Question 19

Is the given graph even, odd, or neither.

Accepted Answer

Odd

Answer

Even

Answer

Neither

Question 20

Is the given graph even, odd, or neither.

Accepted Answer

Odd

Answer

Even

Answer

Neither

Question 21

Is the following statement true or false?

f(x) and g(x) are reflections of each other over the x-axis.

Accepted Answer

False

Answer

True

Question 22

Is the following statement true or false?

f(x) and g(x) are reflections of each other over the line y = x.

Accepted Answer

True

Answer

False

Question 23

Is the following statement true or false?

f(x) and g(x) are NOT inverses.

Accepted Answer

False

Answer

True

Question 24

Is the following statement true or false?

f(x) and g(x) have the same coordinates except they are different signs.

Accepted Answer

False

Answer

True

Question 25

Is the following statement true or false?

f(x) and g(x) have the same coordinates except they are flipped.

Accepted Answer

True

Answer

False

Question 26

Is the following statement true or false?

f(g(x)) = g(f(x))

Accepted Answer

True

Answer

False

Question 27

Is the following statement true or false?

f(x) and g(x) are NOT symmetric with respect to the origin.

Accepted Answer

True

Answer

False

Question 28

Is the following statement true or false?

f(g(x)) = x and g(f(x)) = x

Accepted Answer

True

Answer

False

Question 29

Is the following statement true or false?

f(x) and g(x) have the same domain.

Accepted Answer

True

Answer

False

Question 30

Is the following statement true or false?

f(x) and g(x) have different ranges.

Accepted Answer

False

Answer

True

Question 31

Is the following statement true or false?

The domain of f(x) is the range of g(x).

Accepted Answer

True

Answer

False

Question 32

Is the following statement true or false?

$$f^{-1}\left(x\right)=g\left(x\right)$$ and $$g^{-1}\left(x\right)=f\left(x\right)$$

Accepted Answer

True

Answer

False

Question 33

Is the following statement true or false?

$$As\ x\longrightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

Accepted Answer

True

Answer

False

Question 34

Is the following statement true or false?

$$As\ x\rightarrow\infty,\ g\left(x\right)\rightarrow\infty$$

Accepted Answer

True

Answer

False

Pre-Calc Unit 1B Review - Piecewise Functions

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