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Consider the function shown in the figure below. yo 41 92 93 44 95 96 20 к1 к2 x3 x4 x5 x6 (a) Write an expression involving the values of a and y=f(a) marked on the graph that gives the slope of the line joining the endpoints of the graph. slope (b) On a print-out of this problem, draw the tangent line to the curve at the point (a:4, 4). How does the slope of this line compare with that of your line in (a)? slope of this tangent line ? slope of line from (a) (c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b).

Consider the function shown in the figure below. yo 41 92 93 44 95 96 20 к1 к2 x3 x4 x5 x6 (a) Write an expression involving the values of a and y=f(a) marked on the graph that gives the slope of the line joining the endpoints of the graph. slope (b) On a print-out of this problem, draw the tangent line to the curve at the point (a:4, 4). How does the slope of this line compare with that of your line in (a)? slope of this tangent line ? slope of line from (a) (c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b).

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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Consider the function shown in the figure below. ye y1 5 55% € 92 93 95 y6 xB x1 x2 x3 x4 x5 x6 (a) Write an expression involving the values of ax and y = f(x) marked on the graph that gives the slope of the line joining the endpoints of the graph. slope= (b) On a print-out of this problem, draw the tangent line to the curve at the point (a:4, y4). How does the slope of this line compare with that of your line in (a)? slope of this tangent line ? slope of line from (a) (c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b). HI
Transcribed Image Text:Consider the function shown in the figure below. ye y1 5 55% € 92 93 95 y6 xB x1 x2 x3 x4 x5 x6 (a) Write an expression involving the values of ax and y = f(x) marked on the graph that gives the slope of the line joining the endpoints of the graph. slope= (b) On a print-out of this problem, draw the tangent line to the curve at the point (a:4, y4). How does the slope of this line compare with that of your line in (a)? slope of this tangent line ? slope of line from (a) (c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b). HI
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