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

A. all real numbers
B. x ≥ 0
C. y ≥ 0

User Dgumo
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8.1k points

2 Answers

5 votes
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.
User Thedric Walker
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6 votes

Answer:

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.

User Michael Sparmann
by
7.9k points

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