REVIEW: Exponential Functions

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells? 

•  $n=4\left(2\right)^h$  

•  $n=4\left(\frac{1}{2}\right)^h$  

•  $n=4+\left(2\right)^h$  

•  $n=4+\left(\frac{1}{2}\right)^h$  

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A student used  $f\left(x\right)=500\left(1.012\right)^x$  to show how the balance in a savings account will increase over time. What does the 500 represent?

• The interest the account earned for the first year

• The annual interest rate of the savings account

• The number of years the savings account has earned interest

• The starting balance of the savings account

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

Which statement about the graph  $y=\frac{1}{3}\left(\frac{2}{3}\right)^x$  is true?

• The graph has a VERTICAL asymptote

• The graph crosses the y-axis at  $\left(0,\frac{2}{9}\right)$  

• The graph has an asymptote at  $y=\frac{1}{3}$  

• The graph decreases from left to right

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Scientists are studying the coronavirus very carefully. The function  $f\left(x\right)=10000\left(1.05\right)^x$  gives the number of infected people in the world at the end of x weeks. Which of the following statements is the best description of one of the values in the function?

• The initial number of infected people is 5

• The number of infected people decreases at a rate of 95% each week

• The number of infected people increases at a rate of 5% each week

• The number of infected people at the end of 1 week is 10,000

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

The graph of an exponential function is shown. Which of the following is NOT a true statement?

• The domain is the set of all real numbers

• The range is the set of all real numbers greater than 0

• The equation of the asymptote is at $x=0$

• The graph is decreasing from left to right

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

There are 1,024 players in a Fortnite tournament. In each round, half the players are eliminated. Which function could be used to determine the number of players remaining at the end of x rounds?

• $f\left(x\right)=1,024\left(1.05\right)^x$

• $f\left(x\right)=1,024\left(0.95\right)^x$

• $f\left(x\right)=1,024\left(-2\right)^x$

• $f\left(x\right)=1,024\left(0.50\right)^x$

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Which graph best represents  $f\left(x\right)=2\left(5\right)^x$  ?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

A bank account earning annual compound interest was opened, and no additional withdrawals or deposits were made after the initial deposit. The balance in the account after x years can be modeled by  $b\left(x\right)=850\left(1.025\right)^x$  . Which statement is the best interpretation of one of the values in this function?

• The initial balance in the account decreases at a rate of 97.5% each year.

• The balance in the account increases at a rate of 2.5% each year.

• The initial balance in the account was $1,025.

• The balance in the account at the end of 1 year is $850.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

What is the value of the y-intercept of the graph of  $h\left(x\right)=13\left(2.4\right)^x$  ?

• 2.4

• 40%

• 15.4

• 13

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The table represents some points on the graph of an exponential function. Which function represents the same relationship?

• $f\left(x\right)=15\left(\frac{5}{6}\right)^x$

• $f\left(x\right)=15\left(\frac{6}{5}\right)^x$

• $f\left(x\right)=18\left(\frac{5}{6}\right)^x$

• $f\left(x\right)=18\left(\frac{6}{5}\right)^x$

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2