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

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equation: x+2y=8 and 2x+y=10 - using a calculator


The area of square ABCD is 10 cm^2 . Show that x^2 + 6x = 1 (requires diagram which I will draw on the whiteboard).


How do you divide two fractions?


Claire drove from Manchester to London, it took her 4 hours at an average speed of 85 km/h. Matt drove from Manchester to London, it took him 5 hours. Assuming he took the same route as Claire and took no breaks, work out his average speed in km/h.