Question

1. Let $f(x) = -x^3 + 3x^2$. a. Find the $x$-intercepts and $y$-intercept of $f(x)$.

          1. Let $f(x) = -x^3 + 3x^2$.
a. Find the $x$-intercepts and $y$-intercept of $f(x)$.
        
1. Let f(x) = -x^3 + 3x^2.
a. Find the x-intercepts and y-intercept of f(x).

Added by Kristin M.

Close

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Let f(x)=-x^(3)+3x^(2). a. Find the x-intercepts and y-intercept of f(x). 1.Letf(x)=-x3+3x2 a.Find the x-intercepts and y-intercept of f ()
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Ivan Kochetkov
Kathleen Carty verified

Paul Flesher and 86 other subject Algebra educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
find-the-two-x-intercepts-of-the-function-f-and-show-that-fprimex0-at-some-point-between-the-two-x-i

Find the two $x$-intercepts of the function $f$ and show that $f^{\prime}(x)=0$ at some point between the two $x$-intercepts. $f(x)=x^{2}-x-2$

Calculus of a Single Variable

Applications of Differentiation

Rolle’s Theorem and the Mean Value Theorem

determine-the-y-and-x-intercepts-if-any-of-the-quadratic-function-fx-x24-x

Determine the $y$ - and $x$ -intercepts (if any) of the quadratic function. $$f(x)=-x^{2}+4 x$$

Essentials of Precalculus

Functions and Graphs

Quadratic Functions

determine-the-x-and-y-intercepts-for-the-given-function-see-example-7-fx2-x-4

Determine the $x$ - and $y$ -intercepts for the given function. (See Example 7) $$f(x)=2 x-4$$

College Algebra Essentials

Functions and Graphs

Functions and Relations


*

Recommended Textbooks

-
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition
achievement 1,014 solutions
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger, David J. Ellenbogen,Barbara L. Johnson 4th Edition
achievement 1,017 solutions
Algebra and Trigonometry

Algebra and Trigonometry

James Stewart, Lothar Redlin, Saleem Watson 4th Edition
achievement 1,651 solutions

*

Transcript

-
00:04 In this problem, we're asked to find the two intercepts of a given function.
00:10 F of x is equal to x squared minus x minus 2.
00:19 And then we're supposed to show that there exists some c between those two points at which the derivative is equal to zero.
00:30 So this will be an application of rolz theorem.
00:34 So to find the x intercepts, we set the function equal to 0.
00:38 X squared minus x minus 2 equals 0 and the quickest way to do this is going to be to try to factor this if we can't factor this we can always go back to our handy quadratic formula so this ends up factoring x minus 2 and x plus 1 so if we have a product of two things is 0 then either the first term or the second term in the product needs to be 0.
01:14 So we get x equals 2, x equals negative 1.
01:23 So that would mean this function has coordinates negative 1 0 and 2 0...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever