Turn in the following problems: 1. Consider the difference quotient as the function: Q(x) = We will use the function f(x)= (x) = 1 / x² ; f(x+h)-f(x) h and its graph to better understand the function Q(x). y = f(x) 5 4 3 2 1 -4-3-2-1 1 2 3 4 (a) Explain in your own words what the numerator of Q(2) (i.e., f(2+h)-f(2)) represents in relation to the function f(x). Include an illustration to support your explanation. (b) Explain in your own words what the denominator of Q(2) (i.e., h) represents in relation to the function f(x). Include an illustration to support your explanation. (c) Explain in your own words what Q(2) represents in relation to the function f(x). Include an illustration to support your explanation.
Turn in the following problems: 1. Consider the difference quotient as the function: Q(x) = We will use the function f(x)= (x) = 1 / x² ; f(x+h)-f(x) h and its graph to better understand the function Q(x). y = f(x) 5 4 3 2 1 -4-3-2-1 1 2 3 4 (a) Explain in your own words what the numerator of Q(2) (i.e., f(2+h)-f(2)) represents in relation to the function f(x). Include an illustration to support your explanation. (b) Explain in your own words what the denominator of Q(2) (i.e., h) represents in relation to the function f(x). Include an illustration to support your explanation. (c) Explain in your own words what Q(2) represents in relation to the function f(x). Include an illustration to support your explanation.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
E 9
Transcribed Image Text:Turn in the following problems:
1. Consider the difference quotient as the function:
Q(x) =
We will use the function f(x)=
(x) = 1 / x² ;
f(x+h)-f(x)
h
and its graph to better understand the function Q(x).
y = f(x)
5
4
3
2
1
-4-3-2-1
1 2 3 4
(a) Explain in your own words what the numerator of Q(2) (i.e., f(2+h)-f(2)) represents
in relation to the function f(x). Include an illustration to support your explanation.
(b) Explain in your own words what the denominator of Q(2) (i.e., h) represents in relation
to the function f(x). Include an illustration to support your explanation.
(c) Explain in your own words what Q(2) represents in relation to the function f(x). Include
an illustration to support your explanation.
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