Question

A quadratic function is represented using the equation f(x)=−2(x−4)^(2)+6
. Complete the inequality to show the range of the function.(1 point)
The range of the function is given by the inequality y≤ [?].

Answer 1

y ≤ 6

Reason: (x−4)² ≥ 0 so −2(x−4)² ≤ 0, hence f(x) = −2(x−4)² + 6 ≤ 6. The maximum value is 6 at x = 4.