Question

the graph of a function is given. determine whether the function is increasing, decreasing, or constant on the given interval.

0,1

Explanation:

Identify the interval on the x-axis

Using the Graph Analysis knowledge point
The given interval is \([0, 1]\), which represents the region on the horizontal axis from \(x = 0\) to \(x = 1\).

Analyze the behavior of the graph

Using the Intervals of Increase and Decrease knowledge point

• At \(x = 0\), the graph has a local maximum at the point \((0, 5)\).
• At \(x = 1\), the graph reaches a local minimum at the point \((1, 0)\).
• As \(x\) moves from \(0\) to \(1\), the curve moves downwards from \(y = 5\) to \(y = 0\).
• Since the \(y\)-values decrease as \(x\) increases, the function is decreasing on this interval.

Answer:

decreasing