Graph the function. 4) f(x) = x+4 if x<1 1-1 if x 2 1 -5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Graph the function.
4) f(x) = Jx + 4 if x<1
if x 2 1
f(x + h) - f(x)
Find and simplify the difference quotient-
h 0 for the given function.
h
5) f(x) = 8x - 3
5)
Solve.
6) A faucet is used to add water to a large bottle that already contained some water. After it
has been filling for 5 seconds, the gauge on the bottle indicates that it contains 12 ounces of
water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 26
ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was
turned on. Write a linear equation that models the amount of water in the bottle in terms
6)
of x.
A-2
Transcribed Image Text:Graph the function. 4) f(x) = Jx + 4 if x<1 if x 2 1 f(x + h) - f(x) Find and simplify the difference quotient- h 0 for the given function. h 5) f(x) = 8x - 3 5) Solve. 6) A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 12 ounces of water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 26 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms 6) of x. A-2
Exam 2
Math 103, Blitzer
Name
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Does the graph represent a function? If it is a function, is it 1-1?
1)
1)
Determine whether the equation defines y as a function of x.
2)
2) x = y2 - 6
Use the graph to determine the function's domain and range. Also, give intervals where the function is changing
(increasing, decreasing, or consant.)
3)
3)
A-1
Transcribed Image Text:Exam 2 Math 103, Blitzer Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Does the graph represent a function? If it is a function, is it 1-1? 1) 1) Determine whether the equation defines y as a function of x. 2) 2) x = y2 - 6 Use the graph to determine the function's domain and range. Also, give intervals where the function is changing (increasing, decreasing, or consant.) 3) 3) A-1
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y=x+4      x<1-1         x1

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