Question

The function has a Select an answer of at x = The function is increasing on the interval(s): The function is decreasing on the interval(s): dropdown : minimum/maximum

Answer 1

From the graph, we can observe that the function has a maximum of 1 at x = 1

The maximum value of a function is the place where a function reaches its highest point

Consider the graph below, the region where the graph is increasing and decreasing is shown below:

Using interval notation, the intervals are:

$\begin{gathered} increasing\text{ : \lparen-}\infty,\text{ 1\rparen} \\ decreasing\text{ : \lparen1 , }\infty) \end{gathered}$

Answer Summa

$\begin{gathered} The\text{ function has a maximum of 1 at x = 1} \\ The\text{ function is increasing on the intervals \lparen-}\infty,\text{ 1\rparen . The function is decreasing on the} \\ interval\text{ \lparen1, }\infty) \end{gathered}$