1. Graph f(x) = 2³-7x²+17x-15 x-3 • Find f(3) • Explain what this means • Find lim f(x) 2-3 on your graphing calculator:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Graph f(x)
●
●
L
●
=
x³-7x² +17x-15
=
x-3
2. Using the function f (x) from #1. Use your calculator to determine the two numbers close to 3 between which x must be kept if f(x) is to stay within 0.01 units of
Give a short explanation of how you calculated these values,
2
For the statement "If x is within ___ units of 3 (but not equal to 3), then f(x) is within 0.01 of 2", state the largest number that can go in the blank
The formal definition of a limit is:
x →C
lim f(x)if and only if for any positive number € (no matter how small) there is a positive number & such that if x is within & units of c, f(x) is within € units of L.
The four numbers L, c, e, and 8 all appear in the problem above.
Which one is which?
Explain
on your graphing calculator:
Find f(3)
Explain what this means
Find lim f(x)
x 3
Explain how you determined the limit
Transcribed Image Text:1. Graph f(x) ● ● L ● = x³-7x² +17x-15 = x-3 2. Using the function f (x) from #1. Use your calculator to determine the two numbers close to 3 between which x must be kept if f(x) is to stay within 0.01 units of Give a short explanation of how you calculated these values, 2 For the statement "If x is within ___ units of 3 (but not equal to 3), then f(x) is within 0.01 of 2", state the largest number that can go in the blank The formal definition of a limit is: x →C lim f(x)if and only if for any positive number € (no matter how small) there is a positive number & such that if x is within & units of c, f(x) is within € units of L. The four numbers L, c, e, and 8 all appear in the problem above. Which one is which? Explain on your graphing calculator: Find f(3) Explain what this means Find lim f(x) x 3 Explain how you determined the limit
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