Advanced MathEasySign of a squaring function
Advanced Math practice question
The function g is defined by g(x) = x². Which of the following is true for every real number x?
- A. g(x) ≥ 0Correct
- B. g(x) > 0
- C. g(x) = x
- D. g(x) < 0 whenever x is negative
Answer: A. g(x) ≥ 0
A square is never negative; it is 0 at x = 0 and positive otherwise.
Why the other answers are wrong
- B. g(x) > 0
- g(0) = 0, which is not greater than 0.
- C. g(x) = x
- g(2) = 4, not 2.
- D. g(x) < 0 whenever x is negative
- (−3)² = 9, which is positive.
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