Answered: In Exercises 77-80, determine the…

In Exercises 77-80, determine the point(s) at which the graph of the function has a horizontal tangent. x² 77. f(x) 78. ƒ(x) %3D x – 1 x² + 1 8(x – 2) 79. g(x) 80. ƒ(x) et sin x, [0, 7] et TT

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 11E

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

Determine the point(s) at which the graph of the function has a horizontal tangent. Question 80.

In Exercises 77-80, determine the point(s) at which the graph of
the function has a horizontal tangent.
x²
77. f(x)
78. ƒ(x)
%3D
x – 1
x² + 1
8(x – 2)
79. g(x)
80. ƒ(x)
et sin x,
[0, 7]
et
TT

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