3
advanced-math

Which inequality represents the region below the parabola y=x2y = x^2?

A

y<x2y < x^2

B

y>x2y > x^2

C

y≤x2y \leq x^2

D

y≥x2y \geq x^2

Correct Answer: A

Choice A is the correct answer.

  • y=f(x)y = f(x) is the boundary line.
  • y>f(x)y > f(x) is the region above.
  • y<f(x)y < f(x) is the region below.

Choice B is incorrect because it is above. Choice C is incorrect because it includes the boundary (usually 'below or on'). Choice D is incorrect because it is above or on.

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Set 14: Quadratic Equations and Functions 14