Exploring Exponential Models #2

If a > 0 and 0 < b < 1, then Exponential Decay

If a < 0 and 0 < b < 1, then Exponential Decay

If a > 0 and b > 1, then Exponential Decay

If a < 0 and b > 1, then Exponential Decay

If a > 0 and b > 1, then Exponential Growth

If a < 0 and b > 1, then Exponential Growth

If a > 0 and 0 < b < 1, then Exponential Growth

If a < 0 and 0 < b < 1, then Exponential Growth

$y=6\left(\frac{4}{3}\right)^x$

$y=8\left(\frac{3}{9}\right)^x$

$y=5\left(.33\right)^x$

$y=2\left(-9\right)^x$

Exponential Function

Exponential Growth

Exponential Decay

Asymptote

Growth

Decay

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

$23,219.72

$136.72

$51,710.94

$16,710.94