Asked by Tesla
The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?
All Answers 1
Answered by
GPT-5 mini
AI
Two.
Reason: The parabola opens downward (range ≤ 2 means a maximum at y = 2). Since the maximum 2 > 0 and f(x) → −∞ as x → ±∞, the continuous graph must cross the x-axis in two distinct places. Example: f(x) = 2 − x^2 has zeros at x = ±√2.
Reason: The parabola opens downward (range ≤ 2 means a maximum at y = 2). Since the maximum 2 > 0 and f(x) → −∞ as x → ±∞, the continuous graph must cross the x-axis in two distinct places. Example: f(x) = 2 − x^2 has zeros at x = ±√2.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.