Exponential Functions - IM3 week 5

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Identify the y-intercept (initial value) in the function f(x)=13(0.27)^x

• (0.27)^x

• 0.27

• 13

• 3.51

The value of a car is $15,000 and depreciates (loses value) at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72

• $136.72

• $51,710.94

• $16,710.94

Which does y= 2(0.5)^x represent?

• Exponential Growth

• Exponential Decay

What is the growth/decay factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

Is the following function and example of decay or growth?

f(x)=2(1.85)^x

• Exponential Decay

• Exponential Growth

The table contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship?

• $f(x)=0.04(0.2)^x$

• $f(x)=(0.2)^x$

• $f(x)=0.04(5)^x$

• $f(x)=5(0.04)^x$

Tags

CCSS.HSF.LE.A.2

Which of the following represents exponential DECAY? Select all that apply.

•  $f\left(x\right)=3\left(1.5\right)^x$  

•  $f\left(x\right)=5\left(0.56\right)^x$  

•  $f\left(x\right)=6\left(\frac{2}{3}\right)^x$  

• 
• 

Which function matches the graph shown?

• $f\left(x\right)=400\left(0.6\right)^x$

• $f\left(x\right)=0.6\left(400\right)^x$

• $f\left(x\right)=400\left(1.6\right)^x$

• $f\left(x\right)=400\left(160\right)^x$