Question

question 9 the function graphed above is: increasing for -oo < x < decreasing for < x < increasing for < x < oo enter -oo for −∞ or oo for ∞ submit question

Explanation:

Step1: Analyze the first increasing interval

From the graph, we observe the function's slope. The first increasing part starts from $-\infty$ and goes up to the peak at $x = -2$ (approximate from the graph's vertex on the left). So the first increasing interval is $-\infty < x < -2$.

Step2: Analyze the decreasing interval

After the first peak at $x = -2$, the function decreases until it reaches the minimum at $x = 1$ (approximate from the graph's lower vertex). So the decreasing interval is $-2 < x < 1$.

Step3: Analyze the second increasing interval

After the minimum at $x = 1$, the function starts increasing again and goes to $\infty$. So the second increasing interval is $1 < x < \infty$.

Answer:

• For the first "increasing": $-\infty < x < -2$ (so the right box is $-2$)
• For "decreasing": $-2 < x < 1$ (left box $-2$, right box $1$)
• For the second "increasing": $1 < x < \infty$ (left box $1$)

Filling in the boxes:

• Increasing (first): $-\infty < x < \boldsymbol{-2}$
• Decreasing: $\boldsymbol{-2} < x < \boldsymbol{1}$
• Increasing (second): $\boldsymbol{1} < x < \infty$