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.
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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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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