Advanced MathMediumComparing function values at a large input
Advanced Math practice question
Which of the following functions has the greatest value at x = 10?
- A. f(x) = 2ˣCorrect
- B. f(x) = x²
- C. f(x) = 10x + 100
- D. f(x) = x³/10
Answer: A. f(x) = 2ˣ
At x = 10: 2¹⁰ = 1,024, x² = 100, 10x + 100 = 200, x³/10 = 100. The exponential is largest.
Why the other answers are wrong
- B. f(x) = x²
- 100.
- C. f(x) = 10x + 100
- 200.
- D. f(x) = x³/10
- 100.
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