Engineering Mathematics Exam  >  Engineering Mathematics Videos  >  How to find two function inputs with the same output given graph (example) - Algebra, Mathematics

How to find two function inputs with the same output given graph (example) - Algebra, Mathematics Video Lecture - Engineering Mathematics

FAQs on How to find two function inputs with the same output given graph (example) - Algebra, Mathematics Video Lecture - Engineering Mathematics

1. How can I find two function inputs with the same output given a graph?
Ans. To find two function inputs with the same output given a graph, you need to look for points on the graph where the y-coordinate (output) is the same for different x-coordinates (inputs). These points represent the desired inputs that produce the same output.
2. Is it always possible to find two function inputs with the same output from a graph?
Ans. No, it is not always possible to find two function inputs with the same output from a graph. Some functions may have a one-to-one correspondence between inputs and outputs, meaning each input produces a unique output. In such cases, you won't find any points on the graph where the output is repeated.
3. Can I find two function inputs with the same output by looking at the graph alone?
Ans. Yes, you can potentially find two function inputs with the same output by studying the graph. Look for any vertical lines that intersect the graph at more than one point. These points of intersection represent the desired inputs that produce the same output.
4. Are there any mathematical methods to find two function inputs with the same output other than graph analysis?
Ans. Yes, other than graph analysis, you can use algebraic methods to find two function inputs with the same output. Set the two expressions for the function equal to each other and solve for the variable. The resulting solution(s) will be the inputs that yield the same output.
5. How can I verify if two function inputs found from a graph indeed produce the same output?
Ans. To verify if two function inputs found from a graph produce the same output, substitute the inputs into the function and check if the resulting outputs are equal. If the outputs are the same, it confirms that the two inputs indeed yield the same output.
Related Searches

How to find two function inputs with the same output given graph (example) - Algebra

,

Sample Paper

,

Important questions

,

Objective type Questions

,

How to find two function inputs with the same output given graph (example) - Algebra

,

Mathematics Video Lecture - Engineering Mathematics

,

ppt

,

Semester Notes

,

Exam

,

study material

,

shortcuts and tricks

,

Extra Questions

,

Summary

,

Viva Questions

,

How to find two function inputs with the same output given graph (example) - Algebra

,

Mathematics Video Lecture - Engineering Mathematics

,

video lectures

,

past year papers

,

MCQs

,

mock tests for examination

,

practice quizzes

,

Free

,

Previous Year Questions with Solutions

,

Mathematics Video Lecture - Engineering Mathematics

,

pdf

;