This part is required to be completed on a piece of graph paper: • Very neatly and clearly graph the function f(x). • Clearly mark the point (4, f(4)). Use a ruler to draw the line that is tangent to f(x) at this point. The only point this line should touch the graph of f(x) is at the point (4, ƒ (4)). Calculate the slope of this tangent line. Compare your slope value to your answer in part B. Clearly explain why these ar
This part is required to be completed on a piece of graph paper: • Very neatly and clearly graph the function f(x). • Clearly mark the point (4, f(4)). Use a ruler to draw the line that is tangent to f(x) at this point. The only point this line should touch the graph of f(x) is at the point (4, ƒ (4)). Calculate the slope of this tangent line. Compare your slope value to your answer in part B. Clearly explain why these ar
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
Related questions
Question
Question E.
Transcribed Image Text:1. Use the function f (x) = x² – 3 to answer the following questions"
A. Find the average rate of change (ARC) of f(x) on the interval 4 <x < 4.1. Do not round your
computations.
B. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4.01. Do not round your
computations.
C. Find the average rate of change (ARC) of f(x) on the interval 4 <x < 4 + h. Note: your answer
will involve the letter h.
D. Show how you can use your answer in part C. to verify your answers to parts A and B.
E. This part is required to be completed on a piece of graph paper:
Very neatly and clearly graph the function f(x).
• Clearly mark the point (4, f(4)).
Use a ruler to draw the line that is tangent to f(x) at this point. The only point this tangent
line should touch the graph of f(x) is at the point (4, f(4)).
Calculate the slope of this tangent line.
Compare your slope value to your answer in part B. Clearly explain why these answers
are similar.
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