Engineering Mathematics Exam > Engineering Mathematics Videos > How to match function input to output given the graph (example) - Algebra I, Mathematics
How to match function input to output given the graph (example) - Algebra I, Mathematics Video Lecture - Engineering Mathematics
FAQs on How to match function input to output given the graph (example) - Algebra I, Mathematics Video Lecture - Engineering Mathematics
| 1. How can I match a function's input to its output using a graph? |  |
| 2. What does the slope of a graph represent in terms of input and output? | |
Ans. The slope of a graph represents the rate of change between the input and output variables. It shows how the output changes for every unit increase in the input. A positive slope indicates an increasing relationship, where the output values increase as the input values increase. Conversely, a negative slope represents a decreasing relationship, where the output values decrease as the input values increase.
| 3. How do I determine the domain and range of a function from its graph? | |
Ans. To determine the domain and range of a function from its graph, you need to examine the x-values and y-values shown on the graph. The domain is the set of all possible input values, which can be found by looking at the x-values shown on the graph. The range, on the other hand, is the set of all possible output values, which can be determined by looking at the y-values shown on the graph.
| 4. Can I determine if a function is one-to-one from its graph? | |
Ans. Yes, you can determine if a function is one-to-one by analyzing its graph. A function is considered one-to-one if each input value corresponds to a unique output value, and no two different input values produce the same output value. On a graph, this means that a horizontal line should intersect the graph at most once. If there are any horizontal lines that intersect the graph at multiple points, then the function is not one-to-one.
| 5. How can I use a graph to identify the maximum or minimum values of a function? | |
Ans. To identify the maximum or minimum values of a function using a graph, you need to look for the highest or lowest point on the graph, respectively. For maximum values, locate the highest point (vertex) on an upward-opening graph or the lowest point on a downward-opening graph. For minimum values, locate the lowest point (vertex) on an upward-opening graph or the highest point on a downward-opening graph. These points represent the maximum or minimum values of the function, respectively.
Text Transcript from Video
The graph of the function g is shown below
What is the input value for which g of x
is equal to negative 2?
So what they do here is along the x axis
these are the inputs and then the graph
shows us what's the output
so when x is equal to 7,
G of 7 we see here is 1.
If x equals 9,
g of 9 here is 2.
If x equals 6,
g of 6 is equal to the y coordinate at
this point is equal to 0.
so what is the input value for which g is
equal to negative 2?
so this graph over here, this is y equals
g of x.
So g of x equaling to negative 2 means y
of x is equal to negative 2
And so when does y equal negative 2?
(muttering) when does equal negative 2?
(talking) it looks like that happens right
at this point.
And that happens when you input negative 9
into g.
g of negative 9 is negative 2
so this is going to be negative 9.
And we're done.
What is the input value for which g of x
is equal to negative 2?
So what they do here is along the x axis
these are the inputs and then the graph
shows us what's the output
so when x is equal to 7,
G of 7 we see here is 1.
If x equals 9,
g of 9 here is 2.
If x equals 6,
g of 6 is equal to the y coordinate at
this point is equal to 0.
so what is the input value for which g is
equal to negative 2?
so this graph over here, this is y equals
g of x.
So g of x equaling to negative 2 means y
of x is equal to negative 2
And so when does y equal negative 2?
(muttering) when does equal negative 2?
(talking) it looks like that happens right
at this point.
And that happens when you input negative 9
into g.
g of negative 9 is negative 2
so this is going to be negative 9.
And we're done.
Related Exams
About this Video
Apr 12, 2025
Last updated
How to match function input to output given the graph (example) - Algebra I, Mathematics for Engineering Mathematics 2025 is part of Engineering Mathematics preparation. The notes and questions for How to match function input to output given the graph (example) - Algebra I, Mathematics
have been prepared according to the Engineering Mathematics exam syllabus. Information about How to match function input to output given the graph (example) - Algebra I, Mathematics covers all important topics
for Engineering Mathematics 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises
and tests below for How to match function input to output given the graph (example) - Algebra I, Mathematics.
Introduction of How to match function input to output given the graph (example) - Algebra I, Mathematics in English is available as part of our Engineering Mathematics preparation & How to match function input to output given the graph (example) - Algebra I, Mathematics in Hindi
for Engineering Mathematics courses. Download more important topics, notes, lectures and mock test series for Engineering Mathematics Exam by
signing up for free.
Description
Video Lecture & Questions for How to match function input to output given the graph (example) - Algebra I, Mathematics Video Lecture - Engineering Mathematics - Engineering Mathematics full syllabus preparation | Free video for Engineering Mathematics exam.
Information about How to match function input to output given the graph (example) - Algebra I, Mathematics
Here you can find the How to match function input to output given the graph (example) - Algebra I, Mathematics defined & explained in the simplest way possible. Besides explaining types of How to match function input to output given the graph (example) - Algebra I, Mathematics
theory, EduRev gives you an ample number of questions to practice How to match function input to output given the graph (example) - Algebra I, Mathematics tests, examples and also practice Engineering Mathematics tests.
Related Searches
study material
,Exam
,Mathematics Video Lecture - Engineering Mathematics
,Sample Paper
,video lectures
,Viva Questions
,Mathematics Video Lecture - Engineering Mathematics
,How to match function input to output given the graph (example) - Algebra I
,How to match function input to output given the graph (example) - Algebra I
,Extra Questions
,How to match function input to output given the graph (example) - Algebra I
,Free
,Previous Year Questions with Solutions
,mock tests for examination
,Mathematics Video Lecture - Engineering Mathematics
,MCQs
,ppt
,Important questions
,Summary
,Objective type Questions
,practice quizzes
,past year papers
,Semester Notes
,shortcuts and tricks
;
Study How to match function input to output given the graph (example) - Algebra I, Mathematics on the App
Students of Engineering Mathematics can study How to match function input to output given the graph (example) - Algebra I, Mathematics alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the How to match function input to output given the graph (example) - Algebra I, Mathematics,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of How to match function input to output given the graph (example) - Algebra I, Mathematics is prepared as per the latest Engineering Mathematics syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup