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2. Consider the graph of g(x) 2x+3-1 a. List any x-values at which g(x) is not differentiable: There is no x-values exist since it is a smooth curve so it is differentiable. b. Sketch the tangent line to the curve at x = -8. The sketch is attached below in my work shown. C. Given that (x) = 21 , find the slope of the tangent at x =-8. (You may round your result to two decimal places.).23 d. At what ordered pair location does the tangent line make contact with g(x)? (You may round to two decimal places, if necessary.) e Give the equation of the tangent line you drew in part b. f. Sketch the tangent line to the curve at the x-intercept of g(x).

2. Consider the graph of g(x) 2x+3-1 a. List any x-values at which g(x) is not differentiable: There is no x-values exist since it is a smooth curve so it is differentiable. b. Sketch the tangent line to the curve at x = -8. The sketch is attached below in my work shown. C. Given that (x) = 21 , find the slope of the tangent at x =-8. (You may round your result to two decimal places.).23 d. At what ordered pair location does the tangent line make contact with g(x)? (You may round to two decimal places, if necessary.) e Give the equation of the tangent line you drew in part b. f. Sketch the tangent line to the curve at the x-intercept of g(x).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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can you please answer D,E,F,G,H,I,J,K
AaBbCcDdEe AaBbCcDdEe AaBbCcD AaBbCcD Normal No Spacing Heading 1 Heading 2. Consider the graph of g(x) = 2x+3-1 a. List any x-values at which g(x) is not differentiable: There is no x-values exist since it is a smooth curve so it is differentiable. b. Sketch the tangent line to the curve at x = -8. The sketch is attached below in my work shown. c. Given that (x) = , find the slope of the tangent at x =-8. (You may round your result to two decimal places.) .23 d. At what ordered pair location does the tangent line make contact with g(x)? (You may round to two decimal places, if necessary.) e Give the equation of the tangent line you drew in part b. f. Sketch the tangent line to the curve at the x-intercept of g(x). g. Give the exact value of the x-intercept of g(x). h. Using the derivative of g(x) given in part c, find the slope of the tangent line drawn in part f. i. Give the equation of the tangent line you drew in part f. j. Sketch the tangent line to g(x) at x = -3, k. Give the equation for the tangent line you drew in part j. I. True or False? The slopes of the tangent lines drawn to the curve, g(x), are never negative. m. True or False? The slopes of the tangent lines drawn to the curve, g(x), are never equal to 0.
Transcribed Image Text:AaBbCcDdEe AaBbCcDdEe AaBbCcD AaBbCcD Normal No Spacing Heading 1 Heading 2. Consider the graph of g(x) = 2x+3-1 a. List any x-values at which g(x) is not differentiable: There is no x-values exist since it is a smooth curve so it is differentiable. b. Sketch the tangent line to the curve at x = -8. The sketch is attached below in my work shown. c. Given that (x) = , find the slope of the tangent at x =-8. (You may round your result to two decimal places.) .23 d. At what ordered pair location does the tangent line make contact with g(x)? (You may round to two decimal places, if necessary.) e Give the equation of the tangent line you drew in part b. f. Sketch the tangent line to the curve at the x-intercept of g(x). g. Give the exact value of the x-intercept of g(x). h. Using the derivative of g(x) given in part c, find the slope of the tangent line drawn in part f. i. Give the equation of the tangent line you drew in part f. j. Sketch the tangent line to g(x) at x = -3, k. Give the equation for the tangent line you drew in part j. I. True or False? The slopes of the tangent lines drawn to the curve, g(x), are never negative. m. True or False? The slopes of the tangent lines drawn to the curve, g(x), are never equal to 0.
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Calculus homework question answer, step 1, image 1

Given:

gx=2x+33-1

The graph of g(x) is shown as:

Calculus homework question answer, step 1, image 2

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