Exponential Functions

Growth

Decay

Exponential Growth

Exponential Decay

Linear

None

Slope

Rate of change

Y-intercept

Multiplier

Slope

Rate of change

Y-intercept

Multiplier

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

Growth

Decay

y = 2000(0.88)^x

y = 0.5(1.88)^x

y = 10(3/2)^x

y = 0.8(13)^x

f(x)

g(x)

both

neither

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

Growth

Decay

a = 4

a = 6.87

a = 3

a = 1

Adds by the same number every time

Multiplies by the same number every time

Square roots all the inputs

Squares all the inputs

Adds by the same number every time

Multiplies by the same number every time

Square roots all the inputs

Squares all the inputs

87%

13%

800%

8.7%