Home
Class 11
MATHS
Let f:RtoR:f(x)=x^(3)" for all "x""inR. ...

Let `f:RtoR:f(x)=x^(3)" for all "x""inR`. Find its domain and range. Also, draw its graph.

Text Solution

AI Generated Solution

To solve the problem, we need to find the domain and range of the function \( f(x) = x^3 \) and then draw its graph. ### Step 1: Determine the Domain The domain of a function is the set of all possible input values (x-values) for which the function is defined. For the function \( f(x) = x^3 \): - Since there are no restrictions on the values of \( x \) (you can cube any real number), the domain is all real numbers. ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the real function f:RtoR:f(x)=x+5" for all "x""inR . Find its domain and range. Draw the graph of this function.

Let f:(R-{0})toR:f(x)=(1)/(x) for all values of x""inR-{0} . Find its domain and range. Also draw its graph.

Find the domain and the range of the cube root function, f:R^(+)uu{0}toR:f(x)=x^(1//3)" for all "x""inR . Also, draw its graph.

Find the domain and range of f(x)=-|x| .

Find the domain and range of f(x)=|x-1|

Find the domain and range of f(x)= x/(x+2)

Find the domain and range of f(x)=|x|Sgn(x)

Find the domain and the range of the square root function, f:R^(+)uu{0}toR:f(x)=sqrtx fol all non-negative real numbers. Also, draw its graph.

" 1.Find the domain and range of "f(x)=sqrt(x-3)