Draw the graph of the function y = f(x) = 5/x between x = 1/2 and x = 4. f(x) f(x) 10 10 8 8 6 4 2 WebAssign Plot 3 4 3 5 f(x) f(x) 10- 10- 8 8 6 4 4 X 1 2 3 4

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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Draw the graph of the function y = f(x) = 5/x between x = 1/2 and x = 4.
f(x)
f(x)
10
10
8
8
6
4
2
WebAssign Plot
3
4
3
5
f(x)
f(x)
10-
10-
8
8
6
4
4
X
1
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3
4
Transcribed Image Text:Draw the graph of the function y = f(x) = 5/x between x = 1/2 and x = 4. f(x) f(x) 10 10 8 8 6 4 2 WebAssign Plot 3 4 3 5 f(x) f(x) 10- 10- 8 8 6 4 4 X 1 2 3 4
1
2
4
5
1
3
4
5
Find the slope of the line between the following points.
(a)
x = 3 and x = 3.1
|- 0.538
(b)
x = 3 and x = 3.01
-0.554
(c)
x = 3 and x = 3.001
- 0,5554
Now use algebra to find a simplified rational expression for the slope of the line between (3, f(3)) and (3 + h, f(3 + h)), (h + 0). (Simplify your answer completely.)
-4
3(3+h)
What do these slopes tend toward as h is made closer and closer to 0?
-4/9
123 Tutorial
Using any two points on a line, the slope is the change in y-values divided by the change in the x-values. If the distance between the x-values of two points is h units such that the x-values are
denoted as "3" and "3 + h", how are the corresponding y-values (that is, f(3) and f(3 + h)) calculated?
Additional Materials
I eBook
Transcribed Image Text:1 2 4 5 1 3 4 5 Find the slope of the line between the following points. (a) x = 3 and x = 3.1 |- 0.538 (b) x = 3 and x = 3.01 -0.554 (c) x = 3 and x = 3.001 - 0,5554 Now use algebra to find a simplified rational expression for the slope of the line between (3, f(3)) and (3 + h, f(3 + h)), (h + 0). (Simplify your answer completely.) -4 3(3+h) What do these slopes tend toward as h is made closer and closer to 0? -4/9 123 Tutorial Using any two points on a line, the slope is the change in y-values divided by the change in the x-values. If the distance between the x-values of two points is h units such that the x-values are denoted as "3" and "3 + h", how are the corresponding y-values (that is, f(3) and f(3 + h)) calculated? Additional Materials I eBook
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