Ch 4&5 Review

Is the following function increasing or decreasing?  $y\ =\ 4\cdot3^x$  

• Increasing

• Decreasing

Is the following function increasing or decreasing?  $y\ =\ -2\cdot3^x$  

• Increasing

• Decreasing

What is the asymptote of the following function?  $f\left(x\right)=3\left(4\right)^x-5$  

• y = 3

• y = 4

• y = -5

• y = 12

If Bob deposits $3,500 in to a savings account paying 6.5% interest, how much money will be in the account in 7 years?

• $116,534.81

• $5,438.95

• $5,107.00

• $70,627.15

What is the range of the following function?  $f\left(x\right)=\ .75^x+2$  

• y < .75

• y > .75

• y < 2

• y > 2

If the revenue for a company this year was $650,000 and the revenue increases by .85% each year, write a function that represents the company's revenue as a function of time in years.

• $f\left(x\right)=650,000\left(1+.0085\right)^x$

• $f(x)=650,000(1-.0085)^x$

• $f(x)=650,000(1+.085)^x$

• $f(x)=650,000(1-.085)^x$

What is the range of the following function?  $f\left(x\right)\ =\ \left(\frac{1}{5}\right)^x$  

•  $y\ >\ \frac{1}{5}$  

•  $y<\ \frac{1}{2}$  

• y < 0 

• y > 0

Average attendance at Centennial High School this year was 2100 students. Each year the attendance decreases at a rate of 0.5% per year. What will the average attendance be in three years?

• 1800

• 2132

• 2069

• 1985

Which equation has the following four characteristics?

 $\cdot$  is exponential
 $\cdot$  is continuous
 $\cdot$  is increasing
 $\cdot$  is translated up 5 units from  $f\left(x\right)\ =\ 2^x$  

•  $g\left(x\right)\ =\ 2^{\left(x+5\right)}$  

•  $g\left(x\right)\ =\ 2^{\left(x-5\right)}$  

•  $g\left(x\right)\ =\ 2^x+5$  

•  $g\left(x\right)\ =\ 2^x-5$  

Karen deposits $1,600 in to an account that pays 3.6% interest. How much money will the account have in fifteen years?

• $161,140.09

• $2,625.16

• $118,485.36

• $2,719.67