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-8 -6 -4 f(x)= 0.25 2 – 5 -2 6 4 2 ๐ -2 4 -6 tangent 4 6 8 S Center (0,0) X

-8 -6 -4 f(x)= 0.25 2 – 5 -2 6 4 2 ๐ -2 4 -6 tangent 4 6 8 S Center (0,0) X

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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-8 -6 -4 f(x)= 0.25 x²-5 -2 6 4 2 0 Ń -4 -6 2 tangent 4 6 S 8 Center (0,0) X
Transcribed Image Text:-8 -6 -4 f(x)= 0.25 x²-5 -2 6 4 2 0 Ń -4 -6 2 tangent 4 6 S 8 Center (0,0) X
Experiment 3: 3A. Slide the large circle on the parabola so the small circle on the x-axis is at x = 0. Substitute x O into f(x). State the value f(0). 3B. Does the slope of the tangent line appear to be positive, negative, zero or undefined? 0 3C. State the slope of the tangent line by substituting x = into the derivative f'(x). State the value f'(0). 3D. Does f'(0), the y-coordinate on the gray line at x = 0, have any relationship to the derivative value f'(0)? 3E. Does f'(0), the y-coordinate on the derivative line at x O, have any relationship to f(0), the y-coord. on the parabola at x = 0?
Transcribed Image Text:Experiment 3: 3A. Slide the large circle on the parabola so the small circle on the x-axis is at x = 0. Substitute x O into f(x). State the value f(0). 3B. Does the slope of the tangent line appear to be positive, negative, zero or undefined? 0 3C. State the slope of the tangent line by substituting x = into the derivative f'(x). State the value f'(0). 3D. Does f'(0), the y-coordinate on the gray line at x = 0, have any relationship to the derivative value f'(0)? 3E. Does f'(0), the y-coordinate on the derivative line at x O, have any relationship to f(0), the y-coord. on the parabola at x = 0?
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