16Hit1600
Advanced MathEasy–MediumFunction from its x-intercepts

Advanced Math practice question

Which of the following functions has a graph in the xy-plane with x-intercepts at x = −1 and x = 4?

  1. A. y = (x + 1)(x − 4)Correct
  2. B. y = (x − 1)(x + 4)
  3. C. y = (x + 1)(x + 4)
  4. D. y = x² − 4

Answer: A. y = (x + 1)(x − 4)

A factor of (x + 1) gives a zero at x = −1, and (x − 4) gives a zero at x = 4. Check: (−1 + 1)(−1 − 4) = 0 and (4 + 1)(4 − 4) = 0.

Why the other answers are wrong

B. y = (x − 1)(x + 4)
(x − 1)(x + 4) has zeros at x = 1 and x = −4 — the signs are reversed.
C. y = (x + 1)(x + 4)
(x + 1)(x + 4) has zeros at x = −1 and x = −4.
D. y = x² − 4
x² − 4 has zeros at x = 2 and x = −2.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.