(a) Consider the following:  Find the slope of the given line. slope = ?? Determine the slope of any line parallel to the given line. slope = ?? Find f '(x). (b) Two lines are tangent to the graph of f(x) and parallel to the given line. Find the point of tangency for each line. (c) Find equations for the two lines tangent to the graph of f(x) and parallel to the given line. Please be specific when writing answers for a, b, c, and d so I know which answers are which. Thanks. :D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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(a) Consider the following: 

Find the slope of the given line. slope = ??

Determine the slope of any line parallel to the given line. slope = ??

Find f '(x).

(b) Two lines are tangent to the graph of f(x) and parallel to the given line. Find the point of tangency for each line.

(c) Find equations for the two lines tangent to the graph of f(x) and parallel to the given line.

Please be specific when writing answers for a, b, c, and d so I know which answers are which. Thanks. :D

 

Consider the following.
Function
Line
f(x) = x3
Зх — у + 9 %3Dо
Find the slope of the given line.
slope =
Determine the slope of any line parallel to the given line.
slope
=
Find f'(x).
f'(x) =
Two lines are tangent to the graph of f(x) and parallel to the given line. Find the point of tangency for each line.
(х, у)
(smaller x-value)
%D
(х, у)
(larger x-value)
%D
Find equations for the two lines tangent to the graph of f(x) and parallel to the given line.
y =
(smaller y-intercept)
y =
(larger y-intercept)
Transcribed Image Text:Consider the following. Function Line f(x) = x3 Зх — у + 9 %3Dо Find the slope of the given line. slope = Determine the slope of any line parallel to the given line. slope = Find f'(x). f'(x) = Two lines are tangent to the graph of f(x) and parallel to the given line. Find the point of tangency for each line. (х, у) (smaller x-value) %D (х, у) (larger x-value) %D Find equations for the two lines tangent to the graph of f(x) and parallel to the given line. y = (smaller y-intercept) y = (larger y-intercept)
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