Intro Exponential Function

It shifts the graph 3 units to the left.

It shifts the graph 3 units to the right.

It stretches the graph vertically.

It compresses the graph vertically.

$$f(x)$$ represents exponential growth, while $$g(x)$$ represents exponential decay.

$$f(x)$$ represents exponential decay, while $$g(x)$$ represents exponential growth.

Both $$f(x)$$ and $$g(x)$$ represent exponential growth.

Both $$f(x)$$ and $$g(x)$$ represent exponential decay.

10

1

0.1

-10

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

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

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

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

$$f\left(x\right)=x^2+bx+c$$  

$$f\left(x\right)=mx+b$$  

$$f\left(x\right)=ab^x$$  

$$f\left(x\right)=x^3+a$$  

(0,-1)

(1,0)

(0,1)

(1,1)

x-intercept

y-intercept

ratio

constant

Growth

Decay

Growth

Decay

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

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

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

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