Consider the graphs of the functions and . The number of points of intersection of the two graphs in the interval is

2 Explanation: To find the number of points of intersection, we set the two functions equal to each other: 1. Simplify the equation Subtract 3 from both sides: Divide by 2: 2. Solve for the interval Let . As ranges from to , ranges from to . We need to find where within the interval : 3. Convert back to Since , we have : For For Both values and lie within the interval . Thus, there are 2 points of intersection. Conclusion: The correct option is (c) .

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