Review - Unit 4 Exponential and Logarithmic Functions

How can you verify that two functions are inverses of each other?

• Check if f(x) + g(x) = 0 and g(x) + f(x) = 0.
• Verify that f(x) = g(x) for all x.
• Ensure that f(g(x)) = g(f(x)) for all x.
• Check if f(g(x)) = x and g(f(x)) = x.

• A line passing through the origin

• A parabola opening upward

• An exponential curve with a horizontal asymptote at y=0

• A logarithmic curve with a vertical asymptote at x=0

Which of the following best describes the key characteristic of an exponential function?

• It always passes through the origin

• Its graph is a straight line

• It grows or decays at a constant rate

• It has a vertical asymptote at x=0

• The y-intercept of the function

• The base of the logarithm

• The vertical asymptote

• The rate of growth or decay

• [-3, ∞)

• (3, ∞)
• (-∞, 3)

• (3, 2)

If a population of bacteria starts with 300 bacteria and doubles every hour, which function best models this growth?