Define the function $f: R \rightarrow R$ by $y = f(x) = x^2, x \in R$. Complete the table given below using this definition. What are the domain and range of this function? Also,draw the graph of $f$.
$x$ $-4$ $-3$ $-2$ $-1$ $0$ $1$ $2$ $3$ $4$ $y = f(x) = x^2$
| $x$ | $-4$ | $-3$ | $-2$ | $-1$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $y = f(x) = x^2$ |
(N/A) The completed table is as follows:
Domain of $f = R$ (the set of all real numbers).
Range of $f = [0, \infty)$ (the set of all non-negative real numbers).
| $x$ | $-4$ | $-3$ | $-2$ | $-1$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $y = f(x) = x^2$ | $16$ | $9$ | $4$ | $1$ | $0$ | $1$ | $4$ | $9$ | $16$ |
Domain of $f = R$ (the set of all real numbers).
Range of $f = [0, \infty)$ (the set of all non-negative real numbers).
Explore More
Similar Questions
Match the following functions with their respective ranges:
Function Range $A. f(x) = |x|$ $I. [0, \infty)$ $B. f(x) = x^2$ $II. \mathbb{R}$ $C. f(x) = x^3$ $III. [0, \infty)$ $D. f(x) = \text{sgn}(x)$ $IV. \{-1, 0, 1\}$
| Function | Range |
|---|---|
| $A. f(x) = |x|$ | $I. [0, \infty)$ |
| $B. f(x) = x^2$ | $II. \mathbb{R}$ |
| $C. f(x) = x^3$ | $III. [0, \infty)$ |
| $D. f(x) = \text{sgn}(x)$ | $IV. \{-1, 0, 1\}$ |
If the range of the function $f(x) = -3x - 3$ is $\{3, -6, -9, -18\}$,then which one of the following is not in the domain of $f$?
The range of the real valued function $f(x) = |x-2| + |x-3|$ is
Let $f = \left\{ \left(x, \frac{x^2}{1+x^2} \right) : x \in R \right\}$ be a function from $R$ into $R$. Determine the range of $f$.
Easy
View SolutionThe range of the function $f(x) = -\sqrt{-x^2-6x-5}$ is
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo