5
advanced-math

Which function has an x-intercept at x=4x = 4?

A

y=x−4y = x - 4

B

y=x+4y = x + 4

C

y=x2+16y = x^2 + 16

D

y=(x+4)2y = (x + 4)^2

Correct Answer: A

Choice A is the correct answer. If a function has an x-intercept at x=4x=4, then f(4)f(4) must equal 0.

  • A: 4−4=04 - 4 = 0. (Correct)
  • B: 4+4=84 + 4 = 8.
  • C: 42+16=324^2 + 16 = 32.
  • D: (4+4)2=64(4 + 4)^2 = 64.

Choice B is incorrect because 4+4=84+4=8. Choice C is incorrect because 16+16=3216+16=32. Choice D is incorrect because 82=648^2=64.

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