Exponential Function

Ty's house is worth $100,000 right now. It will lose value at a rate of 2% per year.
Which function models this situation?

• f(x) = 100,000(2)^x

• f(x) = 100,000(1.02)^x

• f(x) = 100,000(0.98)^x

• f(x)=100,000(98)^x

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5

• -.05

• .95

• .05

Determine if the graph represents growth or decay. Also determine the y-intercept.

• decay, 5

• decay, 1

• growth, 5

• growth, 1

Does the following equation model growth or decay? y = 500(.30)^x + 7

• Growth by 30%

• Growth by 70%

• Decay by 30%

• Decay by 70%

Use the function, N = 14,000(.96)^t. Where N is the number of employees and t is the number of years.
How many employees will there be after 3 years?

• 14,000 employees

• 12,386 employees

• 40,360 employees

• 15,748 employees

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

Is the pictured graph growth, decreasing(decay), or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Is the equation linear, exponential or neither?

• Linear

• Exponential

• Neither

State the domain of the exponential function. 

• x<0

• x>0

• all real numbers 

• none of these

State the range of the exponential function. 

• y<0

• y>0

• all real numbers 

• none of these