If a function h(x) = aˣ + b passes through (0, 10) and (-2, 325/36), find ab.
A1/4
B1/2
C54
D60
Answer & Solution
Correct answer: C. 54
h(0) = a⁰ + b = 1 + b = 10, so b = 9. h(-2) = a⁻² + 9 = 325/36 → a⁻² = 325/36 - 9 = (325 - 324)/36 = 1/36. So a² = 36, a = 6 (positive constant). Therefore ab = 6 × 9 = 54.
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