The table contains values for f(x) . If h(x) is the reflection of f(x) across the x-axis, find the missing value in the ordered pair below, for h(x) . x −π2 −π4 0 π4 π2 f(x) 0 −1 0 1 0(1 point) (π4 ,)
The reflection of a point across the x-axis changes the sign of its y-coordinate.
For the given table, the reflection of f(x) across the x-axis would have the same x-values but the y-values would be negative.
So, for h(x), the missing value in the ordered pair (π/4, ) would be the negative of the corresponding y-value for f(x) at x = π/4.
Since the y-value for f(x) at x = π/4 is 1, the missing value for h(x) would be -1.
Therefore, the missing ordered pair for h(x) is (π/4, -1).