1. **Problem Statement:**
Find the absolute maximum and minimum values of the function $y=f(x)$ using the given local maxima and minima points.
2. **Given Information:**
- Local maxima at $(2,6)$ and $(3,4)$
- Local minima at $(-2,1)$ and $(0,0)$
- The graph starts below zero and ends downward to the right.
3. **Step 1: Identify local maxima and minima values.**
- Local maxima values: $f(2)=6$, $f(3)=4$
- Local minima values: $f(-2)=1$, $f(0)=0$
4. **Step 2: Determine absolute maximum and minimum.**
- Absolute maximum is the highest local maximum: $\max(6,4) = 6$ at $x=2$
- Absolute minimum is the lowest local minimum: $\min(1,0) = 0$ at $x=0$
5. **Step 3: Check if any other absolute extrema exist.**
- The function starts below zero but no exact value given, so cannot confirm absolute minimum lower than 0.
- The function ends downward but no higher value than 6 found.
6. **Conclusion:**
- Absolute maximum value is $f(2)=6$
- Absolute minimum value is $f(0)=0$
- Local minima are at $(-2,1)$ and $(0,0)$
- Local maxima are at $(2,6)$ and $(3,4)$
**Answer:**
Option B is correct: There are two local minima. The leftmost minimum is $f(-2)=1$ and the rightmost minimum is $f(0)=0$.
Local Extrema 4Bc5Ca
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