identify and estimate the x - and y - values of the extrema. round to the nearest tenth if…

Explanation:

Step1: Observe the first graph

Find local maxima and minima. Local minimum seems around $x = - 2$ and $y\approx - 3$, local maximum around $x=-1$ and $y\approx - 1$.

Step2: Observe the second graph

Local minimum around $x=-2$ and $y\approx - 4$, local maximum around $x = 0$ and $y\approx2$.

Step3: Observe the third graph

Local minimum around $x = 0$ and $y\approx - 3$. There are no local maxima as the graph goes to positive - infinity on both sides.

Step4: Observe the fourth graph

Local minima around $x=-2,y\approx - 2$ and $x = 2,y\approx - 2$, local maximum around $x = 0$ and $y\approx2$.

Answer:

1. Local min: $x\approx - 2,y\approx - 3$; Local max: $x\approx - 1,y\approx - 1$
2. Local min: $x\approx - 2,y\approx - 4$; Local max: $x\approx0,y\approx2$
3. Local min: $x\approx0,y\approx - 3$
4. Local min: $x\approx - 2,y\approx - 2$ and $x\approx2,y\approx - 2$; Local max: $x\approx0,y\approx2$