Intro to Exponential

$$f\left(x\right)=2\cdot3^x$$

$$f\left(x\right)=3\cdot2^x$$

$$f\left(x\right)=6^x$$

$$f\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x$$

$$f\left(x\right)=x^2+bx+c$$  

$$f\left(x\right)=mx+b$$  

$$f\left(x\right)=ab^x$$  

$$f\left(x\right)=x^3+a$$  

y=0

x=0

y=1

y=IR

x-intercept

y-intercept

ratio

constant

Growth

Decay

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

$$f\left(x\right)=2\cdot2^x$$

$$f\left(x\right)=\frac{1}{2}\cdot2^x$$

$$f\left(x\right)=1^x$$

$$f\left(x\right)=3\cdot5^x$$

$$f\left(x\right)=\frac{5}{3}\cdot3^x$$

$$f\left(x\right)=5\cdot3^x$$

$$f\left(x\right)=5\cdot\left(\frac{1}{3}\right)^x$$

$$f\left(x\right)=-1\cdot4^x$$

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

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

$$f\left(x\right)=4^x$$

10

0.3

1

3

$$y=2\left(5\right)^x$$

$$y=5\left(2\right)^x$$

$$y=a\left(2\right)^5$$

$$y=2a^5$$