Properties of Exponential Functions

Simplify the expression.

• 7⁶

• 7^-5

• 1/7⁵

• 7⁵

According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.

Apply the Product Property  

In an exponential function, what does the 'a' represent? 

• SLOPE

• RATE OF CHANGE

• INITIAL AMOUNT

• GROWTH OR DECAY FACTOR

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

• The end behavior of the graph is x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→2
• The end behavior of the graph is x →∞,y→2 and x→⁻∞, y→∞

Identify which functions are exponential. Select all that apply.

• f(x) = 2x - 5

• g(x) = 3^x

• k(x) = 3x⁴ - 6x + 9

• 
  

  k(x)=3⋅(12)xk\left(x\right)=3\cdot\left(\frac{1}{2}\right)^xk(x)=3⋅(21​)x

Determine which functions model exponential decay. Select all that apply.

• g(x)=3⋅2xg\left(x\right)=3\cdot2^xg(x)=3⋅2x

• k(x)=(13)xk\left(x\right)=\left(\frac{1}{3}\right)^xk(x)=(31​)x

• m(x)=3⋅(23)xm\left(x\right)=3\cdot\left(\frac{2}{3}\right)^xm(x)=3⋅(32​)x

• p(x)=4x2+5x−9p\left(x\right)=4x^2+5x-9p(x)=4x2+5x−9

Evaluate the exponential function

f(x) = 3^x ; x = - 2

• -81

• -9

• 1/9

• -1/81

Which equation corresponds to the graph below.