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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
icon
Related questions
Question
Question E.
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.
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.
Expert Solution
Step 1

We are asked to  draw the graph.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer