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.
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