Identifying/ROC
Properties/Graphing
Applications
Transformations
100

Is the following function exponential? If it is exponential, state if it is growth or decay.

y=3(1/2)x-4

Yes, Decay

100

What is the domain of the following function? 

All real numbers 

100

A new automobile is purchased for $20,000.  If 

V = 20,000(0.8)x,  gives the car’s value after x years. 

What is the value of the car after 3 years?

$10,240

100

State the transformations that occurred to the parent function y=3x

y=-3x-3

Reflection and right 3 

200

Is the following function exponential? If it is exponential, state if it is growth or decay.


Not Exponential 

200

What is the equation for the horizontal asymptote? 

y=-3

200

A town of 3200, grows at a rate of 25% every year. Write an exponential function to represent the situation. 

y=3200(1.25)t

200

State the transformations that occurred to the parent function y=(1/2)x

y=3(1/2)x-5

Stretch by 3 and down 5

300

Is the following function exponential? If it is exponential, state if it is growth or decay. 

Yes, Growth 

300

What is the range of the following function? 

y>-3

300

A cup of coffee contains 140 mg of caffeine.  If caffeine leaves the body at 10% per hour, how much caffeine is left after 2 hours? (Round to the nearest tenths place). 

113.4 mg

300

State the transformations that occurred from the blue function to the red function. 

up 5 and reflection 

400

Find the average rate of change over the interval [0,3]

7

400

What is the interval of increasing and decreasing? 

Inc: (-infinity, infinity) 

Dec: None 


400

The number of fish in a pond is doubling every week. If there were 7 fish initially in 

the pond, how many fish are there after 4 weeks?

112 fish 

400

State the transformations that occurred from the blue function to the red function. 

Down 4 and right 3 

500

Find the average rate of change over the interval [0,2]

-3/2

500

What is the end behavior for the following function? 

x --> infinity, f(x) --> infinity 

x--> -infinity, f(x) --> -3

500

A computer’s value declines about 7% yearly. Sally bought a computer for $800 in 2005. How much is it worth in 2009.

$598.44

500

Write the equation of the transformed function. 

y=2x-2+3