From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Logarithms and Exponential Functions

Logarithms and Exponential Functions

Logarithms and Exponential Functions: I See You, Expo! Quiz

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?


y = x3
y = 4x + 23
y = 8x
y = 5x2
y = 105x
Q. Which function is an exponential function?


y = x6
y = x3 + 2x + 1
y = 82x
y = 10x + x2
Q. Why can’t y = x30 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 = 50x3?


y = 50x3
y = 3x50
Q. What is the inverse function of y = 4ex + 7?


Q. Which set of points are part of the inverse function of y = 2x + 2?


{(10, 2), (20, 4)}
{(8, 1), (19, 2)}
{(6, 2), (12, 5)}
{(5, 4), (18, 3)}
{(2, 2), (12, 6)}
Q. If the population of a city grows by the same number of people 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 height?


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 exponential functions.
Q. Which function is a logarithmic function?


y = 37x
y = ex
y = 2ex
y = 5 ln 10x
y = 8x + x2
Advertisement