10
advanced-math

For what values of xx is the graph of y=x2y = x^2 above the line y=9y = 9?

A

x<3x < -3 or x>3x > 3

B

3<x<3-3 < x < 3

C

x>9x > 9

D

x>3x > 3

Correct Answer: A

Choice A is the correct answer.

  1. "Above" means >>: x2>9x^2 > 9.
  2. Solve inequality: x>3|x| > 3.
  3. Result: x>3x > 3 or x<3x < -3.

Choice B is incorrect because that is where parabola is below line. Choice C is incorrect. Choice D is incorrect because it misses negative values.