Consider the function f(x) = x² + 4x - 5. (a) Find the points, if any, at which the graph of each function f has a horizontal tangent line. (If an answer does not exist, enter DNE.) (х, у)%3D (b) Find an equation for each horizontal tangent line. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list of equations.) (c) Solve the inequality f'(x) > 0. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (d) Solve the inequality f'(x) < 0. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (e) Graph fand any horizontal lines found in (b) on the same set of axes. (A graphing calculator is recommended.) 10 -10 10 -10 10 | -10L -10L ---- (b)
Consider the function f(x) = x² + 4x - 5. (a) Find the points, if any, at which the graph of each function f has a horizontal tangent line. (If an answer does not exist, enter DNE.) (х, у)%3D (b) Find an equation for each horizontal tangent line. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list of equations.) (c) Solve the inequality f'(x) > 0. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (d) Solve the inequality f'(x) < 0. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (e) Graph fand any horizontal lines found in (b) on the same set of axes. (A graphing calculator is recommended.) 10 -10 10 -10 10 | -10L -10L ---- (b)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 8P
Related questions
Topic Video
Question
![Consider the function f(x) = x² + 4x – 5.
%3D
(a) Find the points, if any, at which the graph of each function f has a horizontal tangent line. (If an answer does not exist, enter DNE.)
V) = (|
(х, у) %3D
(b) Find an equation for each horizontal tangent line. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list of equations.)
(c) Solve the inequality f'(x) > 0. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
(d) Solve the inequality f'(x) < 0. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
(e) Graph f and any horizontal lines found in (b) on the same set of axes. (A graphing calculator is recommended.)
10
y
10
y
5.
-10
10
-10
10
-5
f
----
-10
-10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F831b8910-ac59-4660-b346-77daf4df7bac%2F23a412b7-31a9-4111-8c4f-8c6d031ea336%2Fwi5laq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = x² + 4x – 5.
%3D
(a) Find the points, if any, at which the graph of each function f has a horizontal tangent line. (If an answer does not exist, enter DNE.)
V) = (|
(х, у) %3D
(b) Find an equation for each horizontal tangent line. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list of equations.)
(c) Solve the inequality f'(x) > 0. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
(d) Solve the inequality f'(x) < 0. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
(e) Graph f and any horizontal lines found in (b) on the same set of axes. (A graphing calculator is recommended.)
10
y
10
y
5.
-10
10
-10
10
-5
f
----
-10
-10
![10
y
10
5.
-10
-5
10
-10
-5
10
-5
-5
(b)
(b)
---
----
-10
-10 L
(f) Describe the graph of f for the results obtained in parts (c) and (d).
| |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F831b8910-ac59-4660-b346-77daf4df7bac%2F23a412b7-31a9-4111-8c4f-8c6d031ea336%2Fdpvna6v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10
y
10
5.
-10
-5
10
-10
-5
10
-5
-5
(b)
(b)
---
----
-10
-10 L
(f) Describe the graph of f for the results obtained in parts (c) and (d).
| |
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