Think you’ve got your head wrapped around **Logarithms and Exponential Functions**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. Which function does not have an inverse?

Q. Which function is an exponential function?

Q. Why can’t *y* = *x*^{3} have an inverse?

Because its exponent is too large.

Because it doesn’t have a constant base.

Because it isn’t an even function.

Because it isn’t a one-to-one function.

Because it doesn’t contain a square root.

Q. What is the inverse function of *y* = 50*x*^{3}

Q. What is the inverse function of *y* = 4e^{x + 7}?

Q. Which set of numbers represents an inverse function of *y* = 2x + 2?

{10,2 ; 20, 4}

{8,1; 19, 2}

{7,2 ; 13, 5}

{5,4 ; 18, 3}

{2,2 ; 12, 6}

Q. If the population of a city grows at the same rate every year, what kind of function would best model its growth?

Exponential function

Logarithmic function

Radical function

Linear function

Quadratic function

Q. If a plane climbs quickly at first and then slows its ascent over time, what kind of function would best model its growth?

Exponential function

Logarithmic function

Power function

Linear function

Quadratic function

Q. Can a linear function ever be greater than an exponential function?

Never, exponential functions grow too quickly.

Always, exponential functions can never have a y greater than 0.

Never, they are inverse functions.

Sometimes, depending on the base, coefficients, and other terms of each equation.

Always, linear functions grow more quickly than linear equations.

Q. Which function is a logarithmic function?