O POLYNOMIAL AND RATIONAL FUNCTIONS Finding x- and y-intercepts givena polynomial function Find all x-intercepts and y-intercepts of the graph of the function f(x)-2x-3xr+2 If there is more than one answer, separate them with commas Click on "None" if applicable None x-intercept(s) LO.. ? X y -intercept(s)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11E
icon
Related questions
icon
Concept explainers
Topic Video
Question

See attachment

O POLYNOMIAL AND RATIONAL FUNCTIONS
Finding x- and y-intercepts givena polynomial function
Find all x-intercepts and y-intercepts of the graph of the function
f(x)-2x-3xr+2
If there is more than one answer, separate them with commas
Click on "None" if applicable
None
x-intercept(s)
LO..
?
X
y -intercept(s)
Transcribed Image Text:O POLYNOMIAL AND RATIONAL FUNCTIONS Finding x- and y-intercepts givena polynomial function Find all x-intercepts and y-intercepts of the graph of the function f(x)-2x-3xr+2 If there is more than one answer, separate them with commas Click on "None" if applicable None x-intercept(s) LO.. ? X y -intercept(s)
Expert Solution
Step 1

For x intercepts, set f(x) =0 and solve for x

For y intercepts, set x = 0 in f(x) and obtain the value of f(0)

Step 2

x intercept:

y = -2x2- 3x + 2 = 0

Or, -2x2- 4x + x + 2 = 0

Or, -2x(x + 2) + (x + 2) = 0

Or, (1 – 2x)(x + 2) = 0

Hence, x = ½ and x = -2

Hence your answer should be: -2, ½

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Angles, Arcs, and Chords and Tangents
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage