Consider the function f(x) = (x + x)² +9.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
icon
Related questions
Question
100%
Consider the function f(x) = (x + x)² +9.
(a) Rewrite the function without the absolute values.
f(x) =
X ≤ 0
x > 0
(b) Based on the piecewise version of the function, is the function continuous?
---Select--- ✓
(c) Based on the piecewise version of the function, is the function differentiable at x = 0 ? Hint: Think of the graphs.
---Select--- ✓
Transcribed Image Text:Consider the function f(x) = (x + x)² +9. (a) Rewrite the function without the absolute values. f(x) = X ≤ 0 x > 0 (b) Based on the piecewise version of the function, is the function continuous? ---Select--- ✓ (c) Based on the piecewise version of the function, is the function differentiable at x = 0 ? Hint: Think of the graphs. ---Select--- ✓
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill