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VashaNatasha [74]
4 years ago
12

What is the range of the function y = x^2? A. all real numbers B. x ≥ 0 C. y ≥ 0

Mathematics
2 answers:
Paraphin [41]4 years ago
7 0
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.
Mumz [18]4 years ago
6 0

Answer:

range is y≥0

C is correct option.

Step-by-step 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\sqrt{y}=\sqrt{x^2}\\\\x=\pm\sqrt{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.

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Step-by-step explanation:

Given as :

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