Foundations of Math 3: Exponential Functions Quiz

State if the graph of the exponential function shows growth or decay.

• GROWTH

• DECAY

Tags

CCSS.HSF-IF.C.7E

State if the graph of the exponential function shows growth or decay.

• DECAY

• GROWTH

Tags

CCSS.HSF-IF.C.7E

State if the graph of the exponential function shows growth or decay.

• DECAY

• GROWTH

• LINEAR

• EXPONENT

Select the exponential function(s) that show(s) decay.

• $f\left(x\right)=2\left(.35\right)^x$

• $f\left(x\right)=3\left(4\right)^x$

• $f\left(x\right)=4\left(\frac{7}{3}\right)^x$

• $f\left(x\right)=9\left(\frac{1}{2}\right)^x$

Tags

CCSS.HSF-IF.C.8B

Select the exponential function(s) that show(s) growth.

• $f\left(x\right)=2\left(.35\right)^x$

• $f\left(x\right)=3\left(4\right)^x$

• $f\left(x\right)=4\left(\frac{7}{3}\right)^x$

• $f\left(x\right)=9\left(\frac{1}{2}\right)^x$

Tags

CCSS.HSF-IF.C.8B

Solve the following equation. $2^x=8$  

• 10

• 3

• 2

• -3

Tags

CCSS.HSF.LE.A.4

Solve the following equation. $9^{2x}=\frac{1}{81}$  

•  $x=-1$  

•  $x=3$  

•  $x=-\frac{1}{2}$  

•  $x=5$  

Solve the following equation. $25^{\left(3x-1\right)}=125^{4x}$  

•  $x=2$  

•  $x=\frac{1}{2}$  

•  $x=.9$  

•  $x=-\frac{1}{3}$  

You invested $3,145 into a savings account with a 12% interest rate. Is this growth or decay? What is initial amount? What is the rate (decimal)?

• Growth; Initial Amount= $2,000; Rate(decimal)= .012

• Decay; Initial Amount= $3,145; Rate(decimal)= .12

• Growth; Initial Amount= $3,145; Rate(decimal)= .12

• Decay; Initial Amount= $31; Rate(decimal)= .21

The amount of polar bears in Antartica is depreciating by rate of 6% per year. If there are currently 21,000 polar bears in Antartica, about how many polar bears will there be in 10 years? Select the correct equation that represents this problem and identify if it is exponential growth or decay.

• $Growth;\ y=2,100\left(1-.06\right)^1=1,500\ polar\ bears$

• $Decay;\ y=21,000\left(1-.06\right)^{10}=11,310\ polar\ bears$

• $Growth\ \&\ Decay;\ y=21,000\left(1+.06\right)^{10}=37,610\ polar\ bears$

• $Growth;\ y=2,100\left(1-.06\right)^x;\ ?\ polar\ bears$