Exponents, Interest, and Geometric Series

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.

Exponential growth

Exponential decay

Linear, and increasing

Linear, and decreasing

Exponential Growth

Linear

Exponential Decay

None of the Above

$$f\left(x\right)$$  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.

Exponential Growth

Exponential Decay

Neither

y=2(0.5)^x

y = 0.5(2)^x

3

-3

$$\frac{1}{3}$$

$$-\frac{1}{3}$$