Consider the equation and the given point. f(x) = (x – 3)(x² + 6), (1, –14) (a) Find an equation of the tangent line to the graph of f at the given point. y = -14 (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of the graphing utility to confirm your results. У 25- -6 -4 -5 15- -10- 10- 15 -25 х y 25- х 6. 20 15- -10 10 -15 5 х -4 2 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Consider the equation and the given point.
f(x) = (x – 3)(x² + 6), (1, –14)
(a) Find an equation of the tangent line to the graph of f at the given point.
y = -14
(b) Use a graphing utility to graph the function and its tangent line at the point. Use
the tangent feature of the graphing utility to confirm your results.
У
25-
-6
-4
-5
15-
-10-
10-
15
-25
х
y
25-
х
6.
20
15-
-10
10
-15
5
х
-4
2
2.
Transcribed Image Text:Consider the equation and the given point. f(x) = (x – 3)(x² + 6), (1, –14) (a) Find an equation of the tangent line to the graph of f at the given point. y = -14 (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of the graphing utility to confirm your results. У 25- -6 -4 -5 15- -10- 10- 15 -25 х y 25- х 6. 20 15- -10 10 -15 5 х -4 2 2.
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