Questions: Use the graph of the function f to solve the inequality. (a) f(x)>0 (b) f(x) ≤ 0 (a) The solution set for f(x)>0 is . (Type your answer in interval notation.)

Solution Steps

Examine the graph to determine where the function f(x) is above the x-axis. These are the regions where f(x) > 0.

From the graph, identify the x-values where the function crosses the x-axis or where it is undefined (vertical asymptotes). The function f(x) > 0 in the intervals:

• From \( -\infty \) to \( -3 \) (not including -3)
• From \( 2 \) to \( \infty \) (not including 2)

Combine the intervals where f(x) > 0 into a single expression using interval notation.

Final Answer