Class 11 Exam > Class 11 Questions > Find f(x)if y=x^3(2x^2-1)?
Start Learning for Free
Find f(x)if y=x^3(2x^2-1)?
Most Upvoted Answer
Find f(x)if y=x^3(2x^2-1)?
Finding f(x) for y=x^3(2x^2-1)
Step 1: Expand the equation
First, we need to expand the equation y=x^3(2x^2-1) to get a clearer understanding of the function.
Expanding the equation gives:
y=2x^5-x^3
Step 2: Replace y with f(x)
We can replace y with f(x) to get the function in terms of x.
Therefore, f(x) = 2x^5 - x^3
Step 3: Simplify the function
We can simplify the function by factoring out x^3.
f(x) = x^3(2x^2 - 1)
Final Function
Therefore, the final function is:
f(x) = x^3(2x^2 - 1)
Explanation
The given equation, y=x^3(2x^2-1), can be expanded and simplified to get the function in terms of x, which is f(x) = x^3(2x^2 - 1).
The function is a polynomial function of degree 5, which means that it has 5 terms and the highest power of x is 5.
The function can be graphed to show the behavior of the function for different values of x. The graph will show that the function has one local maximum and one local minimum.
Therefore, the function f(x) can be used to model different real-life situations such as population growth, financial investments, and physical phenomena.
Community Answer
Find f(x)if y=x^3(2x^2-1)?
Here
y = x^3(2x^2-1)
but f(x)= y
hence,
f(x) = x^3(2x^2-1)
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Find f(x)if y=x^3(2x^2-1)?
Question Description
Find f(x)if y=x^3(2x^2-1)? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Find f(x)if y=x^3(2x^2-1)? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find f(x)if y=x^3(2x^2-1)?.
Find f(x)if y=x^3(2x^2-1)? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Find f(x)if y=x^3(2x^2-1)? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find f(x)if y=x^3(2x^2-1)?.
Solutions for Find f(x)if y=x^3(2x^2-1)? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Find f(x)if y=x^3(2x^2-1)? defined & explained in the simplest way possible. Besides giving the explanation of
Find f(x)if y=x^3(2x^2-1)?, a detailed solution for Find f(x)if y=x^3(2x^2-1)? has been provided alongside types of Find f(x)if y=x^3(2x^2-1)? theory, EduRev gives you an
ample number of questions to practice Find f(x)if y=x^3(2x^2-1)? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup