Question

Question was provided via image upload.

Explanation:

Step1: Define increasing function

A function increases if $x_1 < x_2 \implies f(x_1) < f(x_2)$.

Step2: Check intervals

• $(-6,-3)$: $f(-6)=34 > f(-5)=3 > f(-4)=-10 > f(-3)=-11$ (decreasing)
• $(-3,-1)$: $f(-3)=-11 < f(-2)=-6 < f(-1)=-1$ (increasing)
• $(-3,0)$: $f(-1)=-1 > f(0)=-2$ (decreasing at end)
• $(-6,-5)$: Too short, not the interval

Step3: Confirm the interval

Only $(-3,-1)$ shows consistent increase.

Answer:

(-3, -1)