Question

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

A. all real numbers
B. x ≥ 0
C. y ≥ 0

Answer 1

y=x^2 won't have any negative y-values as the graph opens upward. Therefore, the range is: ALL REAL NUMBERS GREATER THAN OR EQUAL TO 0. or simply: 0 to +INFINITY.

Answer 2

range is y≥0

C is correct option.

Explanation:

The given equation is
`y=x^2`

Range is the set of y values for which the function is defined.

Hence, we solve the equation for x and then check for which y values the function is defined.

take square root both sides

`\pm√(y)=√(x^2)\\\\x=\pm√(y)`

Now, square root function is defined for positive values only.

Hence, for the above function to be defined, y≥0

Hence, range is y≥0

C is correct option.