How to solve these questions please? 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 thedomain 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):1.510.50-0.5-1-1.502.5For 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.21) 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.1.52) The graph of a function g is sketched below. Find the expression of g. What is theaverage rate of change of g from 0 to 3?15 7.50.5010 12.5 15 17.5 20 22.5X-0.5-325 27.5 30016

Answered: I. A function g is defined by g(-2) =…

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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Related questions

Question

How to solve these questions please?

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

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

$g left parenthesis negative 2 right parenthesis equals 5 g left parenthesis space 3 space right parenthesis equals 9 g open parentheses space 4 space close parentheses equals negative 4 g open parentheses space 0 space close parentheses equals 0$

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.