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.)10y10y5.-1010-1010-5f-----10-10 10y105.-10-510-10-510-5-5(b)(b)--------10-10 L(f) Describe the graph of f for the results obtained in parts (c) and (d).| |

Name: Consider the function f(x) = x² + 4x – 5.%3D(a) Find the points, if a
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Description: 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

we are given a function. f(x)=x2+4x-5

Answered: Consider the function f(x) = x² + 4x -…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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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).
| |

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