16Hit1600
Advanced MathMediumNumber of x-intercepts of a quartic

Advanced Math practice question

In the xy-plane, how many x-intercepts does the graph of y = x⁴ − 16 have?

Answer: 2

x⁴ = 16 has real solutions x = 2 and x = −2 only (x² = −4 gives no real x): two intercepts.

Common wrong answers

If you answered 0
0 would mean the graph never reaches the x-axis, but y = 0 at x = ±2.
If you answered 1
1 misses x = −2.
If you answered 4
4 counts the complex solutions of x² = −4 as intercepts.

More Advanced Math questions

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