Which value of x satisfies |2x − 5| = 9?

2x − 5 = 9 gives x = 7, and 2x − 5 = −9 gives x = −2.

A function g satisfies g(2) = 5 and g(x + 1) = g(x) + 3 for all x. What is g(5)?

g(3) = 8, g(4) = 11, g(5) = 14 by applying the recurrence three times.

The parabola opens downward with vertex at (0, 4), so f(x) ≤ 4 for all x.

81 = 3⁴, so x + 1 = 4, giving x = 3.

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If f(x) = 2x² − 3x + 1, what is f(−2)?