Advanced MathVery hardIntersection of an exponential graph and its reflection
Advanced Math practice question
In the xy-plane, the graphs of y = 2ˣ and y = 2⁻ˣ intersect at exactly one point. What is the y-coordinate of that point?
Answer: 1
2ˣ = 2⁻ˣ means x = −x, so x = 0, where both give y = 2⁰ = 1.
Common wrong answers
- If you answered 0
- 0 is the x-coordinate of the point.
- If you answered 2
- 2 is 2¹, the value at x = 1, where the graphs differ.
- If you answered 0.5
- 0.5 is 2⁻¹.
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