Exponential Growth Decay Functions

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

The horizontal asymptote of y = 3(2)^x is:

• the y-axis

• the x-axis

• y = x

• There is no asymptote

Categorize the functions into either exponential growth or exponential decay functions.

Groups:

(a) Exponential Growth

,

(b) Exponential Decay

Use the graph to identify the value of the base b.

Mathematical Equivalence

ON

• Growth

• Decay

• Neither

Mathematical Equivalence

ON

In the exponential growth function \(f\left(x\right)=25\left(1.5\right)^x\) , what is the initial value?

• 1.5

• x

• 25

• 0.5

Identify which of the following functions is/are exponential decay function. Select all that apply.

Will this be a Exponential Growth or Decay Function?

• Growth

• Decay

Answer explanation

Look for key words!

In this case, the key word is "INCREASING". This indicates our initial amount will be increasing making this a Exponential Growth formula.

What is the correct function for this problem?

Answer explanation

A = Initial amount

R = Growth Rate

T = Time

A = $650,000

R = 4% = 0.04

T = 7 Years

Make sure you correctly convert your % to a decimal.