Advanced MathEasyGraph that never meets the x-axis
Advanced Math practice question
Which of the following equations has a graph in the xy-plane that never crosses or touches the x-axis?
- A. y = 2ˣCorrect
- B. y = x²
- C. y = x
- D. y = x² − 1
Answer: A. y = 2ˣ
2ˣ is always positive, so it never reaches 0.
Why the other answers are wrong
- B. y = x²
- x² touches the x-axis at the origin.
- C. y = x
- A line through the origin crosses it.
- D. y = x² − 1
- x² − 1 crosses at x = 1 and x = −1.
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