Question

What is the range of the function y = x2?

Answer 1

The range of the function is [0,∞) or y≥0

Explanation:

Answer 2

The range of this function is y is equal to all real numbers such that y
`\geq` 0.

In order to find the range of y, we must look for the minimum or maximum value. In a quadratic, this number exists at the vertex. To find the vertex, we use the equation -b/2a, where a is equal to the coefficient of x^2 and b is equal to the coefficient of x. Since there is no x, the coefficient is 0.

x value of vertex = -b/2a

x value of vertex = -0/2(1)

x value of vertex = 0

So then we can look for the minimum y value by plugging in the x value into the equation.

y = x^2

y = x^2

y = 0

Therefore the minimum is 0 and there is no maximum.