I. A function g is defined by g(-2) = 5, g(3) = 9, g(4) = -4, g(0) = 0. 1) Write g as a set of ordered pairs. 2) Give the domain and range of g.
I. A function g is defined by g(-2) = 5, g(3) = 9, g(4) = -4, g(0) = 0. 1) Write g as a set of ordered pairs. 2) Give the domain and range of g.
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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
Transcribed Image Text:I. A function g is defined by g(-2) = 5, g(3) = 9, g(4) = -4,g(0) = 0.
1) Write g as a set of ordered pairs. 2) Give the domain and range of g.
II. Consider the function f(x) = √3-x-5.
1) Evaluate x = 0, x=2, x = -2, x = 4, x=-4 x = a +3, if possible. 2) Find the
domain and the range of f (in interval notation). 3) Plot the graph of f.
III. Consider the following two graphs (in blue and in red, respectively):
1.5
1
0.5
0
-0.5
-1
-1.5
0
2.5
For each graph, determine if it represents a function. If so, find its domain and range.
If it is not a function, explain why. Is one of the graphs the graph of f(x) = sin(x)?
IV. Let g be the number of hours in x weeks.
2
1) Write a formula for g. 2) Evaluate g(13). 3) Interpret the result in 2).
V. 1) Find the expression of the linear function f that goes through (-9, 6), (-10, 10).
Fine the zero of f.
1.5
2) The graph of a function g is sketched below. Find the expression of g. What is the
average rate of change of g from 0 to 3?
1
5 7.5
0.5
0
10 12.5 15 17.5 20 22.5
X
-0.5
-3
25 27.5 30
0
1
6
Expert Solution
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Step 1: Introduction
Note that : Since you have posted multiple questions, we will provide the solution
only to the first question as per our Q&A guidelines. Please repost the
remaining questions separately.
Given that a function g is defined as
We have to write g as a set of ordered pairs
Also we have to give the domain and range of g.
We know that
A function is a special type of relation where each input has exactly one output.
The domain of the function is the set of all inputs.
The range of the function is the set of all outputs.
Step by step
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