a. Graph the function ​f(x)=x2 -14x + 48. b. Identify the point (a,f(a)) at which the function has a tangent line with zero slope. c. Confirm your answer to part​ (b) by making a table of slopes of secant lines to approximate the slope of the tangent line at this point.   Interval                                 Slope of the secant line [7, 7.5]                                                 ? [7, 7.1]                                                 ? [7, 7.01]                                               ? [7, 7.001]                                             ? [7, 7.0001]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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a. Graph the function ​f(x)=x2 -14x + 48.
b. Identify the point (a,f(a)) at which the function has a tangent line with zero slope.
c. Confirm your answer to part​ (b) by making a table of slopes of secant lines to approximate the slope of the tangent line at this point.
 
Interval                                 Slope of the secant line
[7, 7.5]                                                 ?
[7, 7.1]                                                 ?
[7, 7.01]                                               ?
[7, 7.001]                                             ?
[7, 7.0001]                                           ?
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