Answered: he slope or the tangent line to the…

he slope or the tangent line to the graph at the given point; (b) find the equation of the tangent line. 8 h(x) =- at x = 3 (a) The slope of the tangent line at x 3 is |

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

For the given function, (a) find the slope of the tangent line to the graph at the given point;
(b) find the equation of the tangent line.
8
h(x) =
at x = 3
%3D
(a) The slope of the tangent line at x = 3 is
(1,1)
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