16Hit1600
Advanced MathVery hardDifference of inputs from two outputs

Advanced Math practice question

The graph of y = 2ˣ in the xy-plane passes through the points (a, 8) and (b, 1/4). What is the value of a − b?

Answer: 5

2³ = 8 gives a = 3, and 2⁻² = 1/4 gives b = −2. Then a − b = 5.

Common wrong answers

If you answered 1
1 uses b = 2 with the wrong sign.
If you answered 3
3 is a alone.
If you answered -5
−5 is b − a.

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