Question

consider the graph of y = f(x) shown below in blue. find the open interval(s) where f(x) is positive. submit your answer in interval notation. for example, (-∞, -1) or (2,4)∪(1,∞) are acceptable answers.

Explanation:

Step1: Recall derivative - slope relationship

The derivative $f^{\prime}(x)$ is positive when the function $y = f(x)$ is increasing.

Step2: Analyze the graph

By observing the graph of $y = f(x)$, we see that the function is increasing for $x>0$.

Answer:

$(0,\infty)$