Which of the following is a characteristic of the function f(x) = x^2-2?

a) R = {y E R l y or equal to 0}
b) f(x) has two zeros
c) f(x) is not continuous
c) f(x) is decreasing on the interval (0, infinity)

Question

Which of the following is a characteristic of the function f(x) = x^2-2?

a) R = {y E R l y > or equal to 0}
b) f(x) has two zeros
c) f(x) is not continuous
c) f(x) is decreasing on the interval (0, infinity)

anonymous · Answer

@qpHalcy0n

anonymous · Answer

Is the answer b?

anonymous · Answer

Well, elimination is easiest here.

anonymous · Answer

Do you know what shape a quadratic function (One where the highest degree is 2) makes?

anonymous · Answer

parabola?

anonymous · Answer

Right, so for A, its saying the range must be greater than or equal to 0, is this true?

anonymous · Answer

No

anonymous · Answer

Right, because the range includes -2 when x is 0.

anonymous · Answer

For C, this is a simple quadratic equation with no restrictions. So is it continuous everywhere?

anonymous · Answer

Yes.

anonymous · Answer

Right, so for D, does the parabola open up or down?

anonymous · Answer

up

anonymous · Answer

Right, so how can it be decreasing on 0 to infinity??

anonymous · Answer

It can't.... so it's b :)

anonymous · Answer

Right, this is your function:
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