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.LE.A.2

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.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.C.7E

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.C.7E

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.LE.A.2

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.C.7E

The graph of an exponential function is shown. Which dashed line represents the asymptote of the function?

• Line A

• Line B

• Line C

• Line D

Tags

CCSS.HSF-IF.C.7E

Five years ago, Vanessa bought a car for $25,000. Each year since then, the value of the car has decreased by 12%. Which of the following functions represents the value of Vanessa's car after x years?

• $f\left(x\right)=25,000\left(1.12\right)^x$

• $f\left(x\right)=25,000\left(0.88\right)^x$

• $f\left(x\right)=25,000\left(0.12\right)^x$

• $f\left(x\right)=25,000-12x$

Tags

CCSS.HSF.LE.A.2

Which statement about the graph of  $y=12(0.4)^x$  is true?

• The coordinates of the x-intercept are  $\left(0.4,0\right)$  

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

• The graph includes the point  $\left(4,0\right)$  

• The coordinates of the y-intercept are  $\left(0,12\right)$  

Tags

CCSS.HSF-IF.C.7E

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF-IF.C.7E