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The first quadrant of the x y coordinate plane is given. There is one curve on the graph. The curve starts at the point (0, 600), goes down and right becoming less steep, passes through the approximate points (10, 400), (20, 300) and (30, 250), and reaches a minimum at the point (40, 200). The curve then goes up and right becoming more steep, passes through the approximate points (50, 400) and (60, 700), becoming less steep, reaches a maximum at the approximate point (70, 900) where it changes direction and goes down and right. The curve exits the window at the XX point (80, 800).20" 40 60 The graph of a function f is shown. y 800 400 x 0 20 40 60 (a) Find the average rate of change of f on the interval [50, 60]. (b) Identify an interval on which the average rate of change of f is 0. ○ [10, 50] [10, 40] ○ [20, 40] ○ [0, 80] ○ [0, 60] (c) Compute the following. f(40) - f(0) 40 0 What does this value represent geometrically? the slope of the tangent line at (20, f(20)) ◇ the slope of the line segment from (0, f(0)) to (40, f(40)) O the slope of the tangent line at (40, f(40)) the slope of the tangent line at (0, f(0)) (d) Estimate the value of f' (50). (e) Is f'(10) > f'(30)? Yes No f(80) - f(40), (f) Is f'(60) > 80-40 Yes No Explain. The slope of the tangent line at x = 60, f'(60), is less than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 40, f'(40), is less than the slope of the line passing through (60, f(60)) and (80, f(80)). The slope of the tangent line at x = 60, f'(60), is greater than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 80, f'(80), is greater than the slope of the line passing through (40, f(40)) and (60, f(60)). The slope of the tangent line at x = 80, f'(80), is less than the slope of the line passing through (40, f(40)) and (60, f(60)).

The first quadrant of the x y coordinate plane is given. There is one curve on the graph. The curve starts at the point (0, 600), goes down and right becoming less steep, passes through the approximate points (10, 400), (20, 300) and (30, 250), and reaches a minimum at the point (40, 200). The curve then goes up and right becoming more steep, passes through the approximate points (50, 400) and (60, 700), becoming less steep, reaches a maximum at the approximate point (70, 900) where it changes direction and goes down and right. The curve exits the window at the XX point (80, 800).20" 40 60 The graph of a function f is shown. y 800 400 x 0 20 40 60 (a) Find the average rate of change of f on the interval [50, 60]. (b) Identify an interval on which the average rate of change of f is 0. ○ [10, 50] [10, 40] ○ [20, 40] ○ [0, 80] ○ [0, 60] (c) Compute the following. f(40) - f(0) 40 0 What does this value represent geometrically? the slope of the tangent line at (20, f(20)) ◇ the slope of the line segment from (0, f(0)) to (40, f(40)) O the slope of the tangent line at (40, f(40)) the slope of the tangent line at (0, f(0)) (d) Estimate the value of f' (50). (e) Is f'(10) > f'(30)? Yes No f(80) - f(40), (f) Is f'(60) > 80-40 Yes No Explain. The slope of the tangent line at x = 60, f'(60), is less than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 40, f'(40), is less than the slope of the line passing through (60, f(60)) and (80, f(80)). The slope of the tangent line at x = 60, f'(60), is greater than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 80, f'(80), is greater than the slope of the line passing through (40, f(40)) and (60, f(60)). The slope of the tangent line at x = 80, f'(80), is less than the slope of the line passing through (40, f(40)) and (60, f(60)).

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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The first quadrant of the x y coordinate plane is given. There is one curve on the graph. The curve starts at the point (0, 600), goes down and right becoming less steep, passes through the approximate points (10, 400), (20, 300) and (30, 250), and reaches a minimum at the point (40, 200). The curve then goes up and right becoming more steep, passes through the approximate points (50, 400) and (60, 700), becoming less steep, reaches a maximum at the approximate point (70, 900) where it changes direction and goes down and right. The curve exits the window at the XX point (80, 800).20" 40 60
Transcribed Image Text:The first quadrant of the x y coordinate plane is given. There is one curve on the graph. The curve starts at the point (0, 600), goes down and right becoming less steep, passes through the approximate points (10, 400), (20, 300) and (30, 250), and reaches a minimum at the point (40, 200). The curve then goes up and right becoming more steep, passes through the approximate points (50, 400) and (60, 700), becoming less steep, reaches a maximum at the approximate point (70, 900) where it changes direction and goes down and right. The curve exits the window at the XX point (80, 800).20" 40 60
The graph of a function f is shown. y 800 400 x 0 20 40 60 (a) Find the average rate of change of f on the interval [50, 60]. (b) Identify an interval on which the average rate of change of f is 0. ○ [10, 50] [10, 40] ○ [20, 40] ○ [0, 80] ○ [0, 60] (c) Compute the following. f(40) - f(0) 40 0 What does this value represent geometrically? the slope of the tangent line at (20, f(20)) ◇ the slope of the line segment from (0, f(0)) to (40, f(40)) O the slope of the tangent line at (40, f(40)) the slope of the tangent line at (0, f(0)) (d) Estimate the value of f' (50). (e) Is f'(10) > f'(30)? Yes No f(80) - f(40), (f) Is f'(60) > 80-40 Yes No Explain. The slope of the tangent line at x = 60, f'(60), is less than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 40, f'(40), is less than the slope of the line passing through (60, f(60)) and (80, f(80)). The slope of the tangent line at x = 60, f'(60), is greater than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 80, f'(80), is greater than the slope of the line passing through (40, f(40)) and (60, f(60)). The slope of the tangent line at x = 80, f'(80), is less than the slope of the line passing through (40, f(40)) and (60, f(60)).
Transcribed Image Text:The graph of a function f is shown. y 800 400 x 0 20 40 60 (a) Find the average rate of change of f on the interval [50, 60]. (b) Identify an interval on which the average rate of change of f is 0. ○ [10, 50] [10, 40] ○ [20, 40] ○ [0, 80] ○ [0, 60] (c) Compute the following. f(40) - f(0) 40 0 What does this value represent geometrically? the slope of the tangent line at (20, f(20)) ◇ the slope of the line segment from (0, f(0)) to (40, f(40)) O the slope of the tangent line at (40, f(40)) the slope of the tangent line at (0, f(0)) (d) Estimate the value of f' (50). (e) Is f'(10) > f'(30)? Yes No f(80) - f(40), (f) Is f'(60) > 80-40 Yes No Explain. The slope of the tangent line at x = 60, f'(60), is less than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 40, f'(40), is less than the slope of the line passing through (60, f(60)) and (80, f(80)). The slope of the tangent line at x = 60, f'(60), is greater than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 80, f'(80), is greater than the slope of the line passing through (40, f(40)) and (60, f(60)). The slope of the tangent line at x = 80, f'(80), is less than the slope of the line passing through (40, f(40)) and (60, f(60)).
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