Find the slope of the secant line which connects the points (-2, 4) and (2, 0) on the following curve. Next, using the Mean Value Theorem, just find the x-value at which the line tangent to f(x) is parallel to this secant line. fx) = - -x + 6 y (-2, 4), 4 2 (2, 0) -4 2 O a. 1 O b. y = - 2x - 1 O C.x = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 33E
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Find the slope of the secant line which connects the points (-2, 4) and (2, 0) on the following curve.
Next, using the Mean Value Theorem, just find the x-value at which the line tangent to f(x) is parallel to this secant line.
f(x) = -x -x+ 6
y
(-2, 4),
(2,0)
-4
-2
O a.x = -
1
2
O b. y = - 2x – 1
O C.X = 0
O d. x = -3
Transcribed Image Text:Find the slope of the secant line which connects the points (-2, 4) and (2, 0) on the following curve. Next, using the Mean Value Theorem, just find the x-value at which the line tangent to f(x) is parallel to this secant line. f(x) = -x -x+ 6 y (-2, 4), (2,0) -4 -2 O a.x = - 1 2 O b. y = - 2x – 1 O C.X = 0 O d. x = -3
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