Concept explainers
a.
To calculate: The slope of the function,
a.
Answer to Problem 45E
The slope of the function,
Explanation of Solution
Given information: The function and point are
Formula used: The slope of the function
Calculation: Find the slope of the function,
Find the value of the limit when h approaches to 0.
Thus, the slope of the function is -3.
b.
To calculate: The equation of a tangent line of the function,
b.
Answer to Problem 45E
The equation of a tangent line of the function,
Explanation of Solution
Given: The function and point are
Formula used: An equation of the line with slope
Calculation: As derived in part a, the slope of the function is -3.
Find the equation of tangent line with slope -3 and passing through
Thus, the equation of the tangent line is
c.
Tograph : The function
c.
Explanation of Solution
Given information : The given function is
Graph :
As derived in part b, the equation of the tangent line is
Interpretation : The graph of the function and the tangent line intersects at a point,
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
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