Unit 5 Review

Vocabulary

100

What type of function grows by multiplying? 

Exponential 

200

What is the small letter/number in the top right corner called?

Exponent

300

In the format: y = a * b^x, what does the "a" represent?

Starting/initial amount

400

What is the rate at which an exponential function is growing or decaying?

Growth factor

Write an Equation

100

A computer that is worth $500 keeps 3/4 of its value every year. Write an equation for the situation. 

y = 500 * 3/4^x

200

A car costs $18,000 originally but loses 1/5 of its value each year. Write an equation to represent the value after t years. 

18000 * 4/5^t

300

The following list shows corresponding x and y values for a situation. Write an equation based on the table: 

x: 0    1      2       3        4

y: 7   28    112   448   1792

y = 7 * 4^x

400

Elliot finds 18 bees in a hive. The next day the amount of bees triples. Write an equation to show the amount of growth if this pattern continues.

y = 18 * 3^x​​​​

Evaluate

100

Find h(3) for the function: h(x) = 17 * 5^x

2,125

200

Evaluate the function f(x)=5x - 2 at f(2). 

8

300

A function is given. q(x) = 4^x + 5

What is the value of q(-3)?

5 1/64 or 5.015625

400

Evaluate the function g(x) = 36*5^x at g(-3) 

0.288

Other

100

True or false: the exponents in an exponential function cannot be negative

False!

200

Give an example of a growth factor with a graph going down.

any number less than 1 

300

What does the graph of an exponential function look like?

Curve up or down 

400

A music artist is tracking her total streaming sales. She begins tracking each year starting in 2024. What would f(-2) mean in this context?

Number of sales 2 years before she started tracking (2022) 

Review

100

What is the term for the difference of the largest and smallest values in a data set?

Range

200

Solve the equation 

5x + 3 = 7(x - 4) 

x = 15.5

300

What is the term for all possible x (input) values for a function?

Domain

400

Give 3 more ordered pairs that will keep this data set a function: 

(1, 5), (4, 2), (6, -9)

Anything with x not 1, 4, or 6