Graph Features
Word Problems
Linear or Exponential
Growth or Decay
True/False
100

The invisible boundary that an exponential graph does not cross is called ...

an asymptote

100

In a single elimination tournament starting with 128 teams, half of the remaining teams are eliminated each round. Linear or Exponential? 



Exponential 

100

Does the table display exponential or a linear model?

Linear; Data has a constant rate of change.

100

Does the graph represent exponential growth or exponential decay?


Exponential decay

100

In an exponential equation, if the base "b" is bigger than 1, then the graph will display exponential decay.

False! If the base "b" is greater than 1, then it will be exponential growth!

200

On an exponential graph, the y-intercept will be determined from which variable in the Exponential equation: y = a bx ?

a

200

You play musical chairs where you begin with 32 chairs and you remove 2 chairs each round. Is this Linear or Exponential? 


Linear! Constant rate of change. 

200

Linear or exponential: It costs 40 dollars to join a gym and an additional $10 per month.

Linear

200

Does the equation below represent exponential growth or exponential decay?

y=0.5^x

Exponential decay because the base is 0.5 which is less than 1!

200

In an exponential equation, if the base "b" is between 0 and 1, then the graph will display exponential decay.

True! If "b" is between 0 and 1, the graph will be an exponential decay graph!

300

On an exponential graph, the multiplier that divides the y-coordinates of two consecutive points will be determined from which variable in the Exponential equation: y = a bx ?

b

300

A $7,000 car depreciates at a rate of 8.3% per year. Linear or Exponential? 



Exponential. 

300

Does the table display exponential or a linear model?

Exponential; data does not have a constant rate of change, the y-values double (multiply by 2) each tim.

300

Does the equation below represent exponential growth or exponential decay?

y=5(2)^x

Exponential growth because the base is 2 and that is greater than 1!

300

The number of chickens on the farm increases by 3% each year. This is an example of exponential growth. 

True!!!

400

In an exponential equation, the starting value determines which of the following:

A: the steepness of the graph

B: whether the graph is growth or decay

C: whether the graph is reflected

D: whether or not there is an asymptote

C (a negative "a"-value flips the graph)

400

The 8 inches of snow melted at a rate of 1.5 inches per hour. Linear or exponential? 

Linear

400

Linear or exponential: You set a savings plan for yourself and put $0.50 into your piggy bank. You will double the amount saved each day.

Exponential

400

Does the equation below represent exponential growth or exponential decay?

y=2(1.475)^x

Exponential growth because b is greater than 1. 

400

When we graph exponential functions, the line should be straight.

False!