Exponential Functions and Geometric Sequences

Is this exponential growth or decay?

• Growth, the common ratio is between 0 and 1.

• Decay, the common ratio is between 0 and 1.

• Growth, the common ratio is greater than 1.

• Decay, the common ratio is greater than 1.

Tags

CCSS.HSF-IF.C.8B

The relationship between time and population is ________________.

• Exponential growth

• Exponential decay

• Linear, and increasing

• Linear, and decreasing

Tags

CCSS.HSF-IF.C.7E

What type of function is

 $f\left(x\right)=2\cdot\left(\frac{1}{7}\right)^x$  

• Exponential Growth

• Linear

• Exponential Decay

• None of the Above

Tags

CCSS.HSF-IF.C.8B

Select the TRUE statements about the functions

 $f\left(x\right)\ =\ 2x-4$  
 $g\left(x\right)\ =\ 2^x\ -\ 4$  
 $h\left(x\right)=\left(\frac{1}{2}\right)^x\ -\ 4$  
 $k\left(x\right)\ =\ \frac{1}{2}x-4$  

•  $f\left(x\right)$  and  $k\left(x\right)$  are linear.

•  $g\left(x\right)$  is exponential growth. 

•  $h\left(x\right)$  is exponential decay.

•  $f\left(x\right)\ and\ g\left(x\right)$  are both exponential growth. 

•  $h\left(x\right)\ and\ k\left(x\right)$  are both exponential decay.

Is this equation exponential growth, decay, or neither?

• Exponential Growth

• Exponential Decay

• Neither

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.7E

Pick the equation that is exponential growth:

• y=2(0.5)^x

• y = 0.5(2)^x

If a table's pattern is that the f(x) values are being divided by -3, what is the common ratio?

• 3

• -3

• $\frac{1}{3}$

• $-\frac{1}{3}$

Tags

CCSS.HSF.BF.A.2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2