3.1 Practice Exponential Graphs and Derivatives

Is the pictured graph growth, decay, or linear?  

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.7E

This graph represents:

• Exponential Growth
• Exponential Decay
• Direct Variation
• None of the above

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

Given y=3^x determine the y-intercept 

• (0,1)
• (0,3)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.8B

What is the initial value of the situation represented by f(x)=0.05(2)^x?

• 0.05

• 2

• 0.1

• 1

Tags

CCSS.HSF.LE.B.5

What is the asymptote of the parent function y=2^x?

• x=0

• y=0

• x=2

• y=2

Tags

CCSS.HSF-IF.C.7E

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing
• Decreasing

Tags

CCSS.HSF-IF.C.8B

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down