Exponential Growth and Decay

What is the Exponential equation?

• $y=mx+b$

• $y=a\left(b\right)^x$

• $y=b\left(a\right)^x$

• $y=abx$

In the exponential function, what does a represent?

• growth factor

• decay factor

• initial value

• exponent

In the exponential function, what does b represent?

• growth/decay factor

• initial value

• number of times something occurs

• function

If b>1, this tells me I have an exponential __________.

If 0<b<1, this tells me I have an exponential ________.

Select all the equations that represent exponential decay.

Classify the equation
 $y\ =\ 120\left(\frac{1}{7}\right)^x$  

• Growth

• Decay

• Linear

Identify the initial value
 $y\ =\ 120\left(\frac{1}{7}\right)^x$  

• 120

•  $\frac{1}{7}$  

• x

Identify the growth/decay value

 $y\ =120\left(\frac{1}{7}\right)^x$  

• 120

•  $\frac{1}{7}$  

• x

Is this exponential growth or decay?

• Growth
• Decay