Write and Evaluate Exponential Functions

Evaluate the function for the given value:

f (x) = 5^x for f(4)

• 20

• 625

• 125

• 25

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Evaluate the function for the given value:

h(t) = 3 • 4^t for h(-3)

• $\frac{3}{64}$

• 192

• -36

• $-\frac{3}{64}$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Evaluate the function for the given value:

 $y=8\cdot0.7^x$  for x = 3

• 2.744

• 175,616

• 16.8

• 432,8

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

Evaluate the function for the given value:

 $f\left(x\right)=3^x$  for f(3)

• 27

• 9

• 6

• 12

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Evaluate the function for the given value:

 $y=\left(\frac{1}{4}\right)^x$  for x = 4

•  $\frac{1}{256}$  
  

• 256

•  $\frac{1}{16}$  
  

• 16

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

An investment of $8000 in a certain Certificate of Deposit (CD) doubles in value every seven years. The function that models the growth of this investment is f (x) = 8000(2)^x, where x is the number of 7 year periods. If the investor does not withdraw any money from this CD, how much money will be available for withdrawal after 28 years?

• $128,000

• $1,024,000

• $2,147,483,648,000

• $112,000

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A population of amoebas in a petri dish will triple in size every 20 minutes. At the start of an experiment the population is 800. Write a function to model this relationship with y representing the total population, and x as the number of 20 minute periods.

• $y=800\left(3\right)^x$

• $y=3\left(800\right)^x$

• $y=800\left(20\right)^x$

• $y=20\left(3\right)^x$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A population of amoebas in a petri dish will triple in size every 20 minutes. At the start of an experiment the population is 800. Write a function to model this relationship with y representing the total population, and x as the number of 20 minute periods.  How many amoebas are in the petri dish after 3 hours?

• 15,746,400

• 216,000

• 27,894,275,208,000

• 67.893

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A new car costs $15,000 to build in 2010. The company’s financial analysts expect costs to rise by 6% per year for the 10 years they are planning to build the car. The cost to build the car can be modeled by the function f (t) = 15,000 (1.06)^t , where t is the number of years after 2010. How much will it cost the company to build the car in 2017?

• $22,554.45

• $23,907.72

• $19,678.32

• $45,678.91

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Linear, exponential, or neither?

y = 4 + 2x

• Linear

• Exponential

• Neither

Tags

CCSS.HSF.LE.A.1