Given:
a graph of the function y = x^2 is given.
Find:
we have to find its domain and range.
Step-by-step explanation:
Since x can be any real number, so the domain of the function y=f(x)=x^2 is Set of Real Number(R) i.e.
![(-\infty,\infty)](https://img.qammunity.org/2023/formulas/mathematics/high-school/gt1s3h5yhehl0wy6ityf0e52fgigjd4in4.png)
And, since y is always positive for any real value of x, so range of y = f(x) = x^2 is positive Real Number, i.e.
![[0,\infty)](https://img.qammunity.org/2023/formulas/mathematics/college/m9dtyo0ggjtufu39m3u68aarmxn4a7e4n1.png)
Conclusion:
Therefore, Domain of the given graph is (-infinity,infinity) and range is [0,infinity).