Chapter 1: Functions and Exponents

Absolute Value Functions

100

This is the parent function of absolute value functions.

f(x)=|x|

200

What equation represents a horizontal translation 10 units to the left?

f(x)=|x+10|

300

What equation represents a vertical shrink by a factor of 1/4?

f(x)=1/4|x|

400

What equation represents a vertical translation 7 units down?

f(x)=|x|-7

500

What equation represents a vertical stretch by a factor of 3 and a reflection in the x-axis?

f(x)=-3|x|

Piecewise Functions

100

If f(x)=5x-1 if x<-2 and x+3 if x≥-2, then what is f(-3)?

-16

200

If f(x)=5x-1 if x<-2 and x+3 if x≥-2, then what is f(-2)?

1

300

If f(x)=5x-1 if x<-2 and x+3 if x≥-2, then what is f(5)?

8

400

If g(x)=-x+4 if x≤-1, 3 if -1<x<2, and 2x-5 if x≥2, what is g(0)?

3

500

If g(x)=-x+4 if x≤-1, 3 if -1<x<2, and 2x-5 if x≥2, what is g(2)?

-1

Inverse of a Function

100

What is the inverse of the relation (2,1),(4,-3),(6,7),(8,1),(10,-4)?

(1,2),(-3,4),(7,6),(1,8),(-4,10)

200

What is the inverse function of f(x)=3x?

g(x)=1/3x

300

What is the inverse function of f(x)=-5x?

g(x)=-1/5x

400

What is the inverse function of f(x)=2x+3?

g(x)=(x-3)/2

500

What is the input when the output is 2 of f(x)=2x-3?

5/2

Radicals and Rational Exponents

100

Evaluate 32^3/5

8

200

Evaluate 125^2/3

25

300

Evaluate 343^4/3

2401

400

Evaluate (-36)^3/2

Not a real number

500

Evaluate (-243)^2/5

9

Exponential Functions

100

Evaluate 6*2^x when x=-2

3/2

200

Evaluate 2^x-2 when x=3

6

300

Is the following exponential growth or exponential decay: y=6^x

Exponential growth

400

Is the following exponential growth or exponential decay: y=(0.75)^x

Exponential decay

500

What is the percent increase in the growth model y=2.4(1.5)^x?

.5 or 50%