Exponential Functions Characteristics

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• f(x) = 417(3.75)^x

• f(x) = 417(0.0375)^x

• f(x) = 417(1.0375)^x

• f(x) = 417(1.375)^x

Does the following equation represent exponential growth or exponential decay? y=105(.80)^x

• Growth

• Decay

For the function f(x) =6(3)^x , what is the y-intercept?

• (6,0)

• (3,0)

• (0,3)

• (0, 6)

Growth or decay?

• Growth

• Decay

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

y = 4(3)^x

• Linear

• Exponential

• Neither

• All of the above

Linear, exponential, or neither?
Amount triples each year

• Linear

• Exponential

• Neither

• All of the above