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14. determine the domain and range of the path graph below: (2 ma domai…

Question

  1. determine the domain and range of the path graph below: (2 ma

domain:
range:

Explanation:

Step1: Determine the domain

The domain of a graph is the set of all x - values for which the graph exists. Looking at the graph, the leftmost point has an x - value of 0 (since it starts at x = 0) and the rightmost point has an x - value of 10 (where it touches the x - axis). So, the domain is the set of all real numbers from 0 to 10, inclusive. In interval notation, this is $[0, 10]$.

Step2: Determine the range

The range of a graph is the set of all y - values for which the graph exists. The lowest point on the graph is at y = 0 (where it touches the x - axis) and the highest point is at y = 36 (the peak of the parabola - like graph). So, the range is the set of all real numbers from 0 to 36, inclusive. In interval notation, this is $[0, 36]$.

Answer:

Domain: $[0, 10]$
Range: $[0, 36]$