Exponential Functions

 $f(x)=a(b)^x$  

• a: Y:intercept
  b: Base

• a: Base
  b: Y-intercept

• a: X-intercept
  b: base

• a: Base
  b: X-intercept

Identify the equation with the information given.

y-int: (0,60)

Base: 100

• $f(x)=60(100)^x$

• $$f\left(x\right)=100\left(60\right)^x

• $$f\left(x\right)=60x+100$$

• $f(x)=60+100x$

 $f(x)=34(148)^x$  

• y-int: (0,34)
  Base: 148

• y-int: (0,148)
  Base: 34

• y-int: (34,0)
  Base: 148

• y-int: (148,0)
  Base: 34

Which definition defines growth?

• B is greater than 1

• B is less then 1

• B is less than 0

• B is in greater than 0 but less than 1

Which definition defines decay

• B is less then 1

• B is greater then 0 but less then 1

• B is greater than 1

• B is less then 0

Growth or decay?

 $f\left(x\right)=\left(\frac{1}{4}\right)^x$  

• Growth

• Decay

Growth or Decay?

 $f\left(x\right)=\left(16\right)^x+3$  

• Growth

• Decay

Identify the domain?

 $f\left(x\right)=\left(7\right)^x$  

•  $\left(-\infty,\infty\right)$  
  

•  $$\left(0,\infty \right)$$ 

   
  

• $$\left(-\infty ,0\right)$$  

• $$\left(-\infty ,0\right)$$  

Identify the range .

 $f\left(x\right)=\left(7\right)^x$  

• $$\left(-\infty,\infty\right)  

•  $$\left(0,\infty \right)$$ 

•  $$\left(0,-\infty \right)$$ 

•  $$\left(0,-\infty \right)$$ 

Identify the Asymptote.

 $f(x)=(7)^x$  

• X-axis

• Y-axis

• X-axis and Y-axis