What is the range of the function y = x^2?

Every mathematical function has a range and a domain. The range of a function is the set of possible outputs the function has. In this case, we know that our output (y) must be a positive number because if we take any real number (x) and square it, the result will be positive (negative x negative = positive).So we know that the range will not include any negative values. However, we can include 0 in the range as 0 x 0 = 0. Therefore, our range will be 0 to infinity (as x is any real number).

MB
Answered by Molly B. Maths tutor

3491 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are 720 boys and 700 girls in a school. The probability that a boy chosen at random studies French is 2/3 The probability that a girl chosen at random studies French is 3/5. Work out the number of students in the school who study French.


f(x) = 4x - m, g(x) = mx + 11, fg(x) = 8x + n. m and n are constants. Find the value of n.


Solve the simultaneous equations 3x + 2y = 4, 4x + 5y = 17


solve the quadratic equation: x^2-4x+3=0


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning