Algebra 3 Exponential Equations

Simplify the exponential expression.

• 2x⁶y¹²

• 2x⁵y⁷

• 8x⁶y¹²

• 8x⁵y⁷

Identify each function as representing exponential growth or decay.
f(x) = 5(1.06)^x

• growth

• decay

Is this exponential growth or decay?

• Growth

• Decay

Which is an exponential function?

• y = mx + b

• y - y₁ = m(x - x₁)

• y = ab^x

Write an equation.

• y = (2)2^x

• y = (4)1^x

• y = (1)2^x

Write an equation.

• y = (2)1^x

• y = (1)2^x

• y = (1)0.5^x

Write an equation

• y = (20)0.25^x

• y = (20)0.5^x

• y = (0.5)20^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)^x

• growth

• decay

Mr. Holt's YouTube video has 100 views. It increases continuously by 12.7%. How many views will it have after 10 years?

• 330.552

• 356.085

• 2.202

• 7.843