Question

1-37) if f(x) = -x² + 4x - 2x + 2. the maximum value of f(x) on the interval (-2,4) inclusive, occurs when x = ?

explain pleaseeee

Answer 1

3

Explanation:

Combine like terms:

f(x) = -x² + 2x + 2

The vertex of a parabola is at -b/2a.

x = -(2) / (2 × -1)

x = 1

The vertex is at (1, 3). Since this is a downward parabola, the vertex is the maximum.