question\ndetermine the interval(s) for which the function shown below is decreasing.
question\ndetermine the interval(s) for which the function shown below is decreasing.
Answer
Explanation:
Step1: Recall decreasing - function definition
A function $y = f(x)$ is decreasing on an interval if for any two points $x_1$ and $x_2$ in the interval with $x_1<x_2$, we have $f(x_1)>f(x_2)$. Graphically, the function is decreasing when the graph moves down - ward as we move from left to right.
Step2: Analyze the given graph
Looking at the graph, we can see that the function is moving downward (from left to right) in the interval from $x=-1$ to $x = 1$.
Answer:
The function is decreasing on the interval $(-1,1)$.