Identify intervals on which the function is increasing, decreasing, or constant.
-$$g ( x ) = 2 - ( x - 5 ) ^ { 2 }$$
A) Increasing: $( - \infty , 5 )$; decreasing: $( 5 , \infty )$
B) Increasing: $( - \infty , - 5 )$; decreasing: $( - 5 , \infty )$
C) Increasing: $( 2 , \infty )$; decreasing: $( - \infty , 2 )$
D) Increasing: $( - \infty , 2 )$; decreasing: $( 2 , \infty )$

Question

Quizplus · Accepted Answer

The function $g(x) = 2 - (x - 5)^2$ is a downward-opening parabola with its vertex at $x = 5$. It increases on the interval $(- \infty, 5)$ and decreases on the interval $(5, \infty)$.

Identify Intervals on Which the Function Is Increasing, Decreasing, or Constant