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enter the interval(s) where the graph is increasing. interval 1: interv…

Question

enter the interval(s) where the graph is increasing.
interval 1:
interval 2: (if there is no second interval, write
one\)

Explanation:

Step1: Analyze the graph's increasing parts

A function is increasing when, as \(x\) - values increase, \(y\) - values also increase.
Looking at the graph:

  • From \(x = 0\) to \(x=10\), as \(x\) increases (from \(0\) to \(10\)), \(y\) increases (from \(0\) to \(60\)). The interval for this part is \((0,10)\) (assuming the left - hand point is not included as it's a single point and the right - hand point is also not included in the strict increasing sense for a continuous function interpretation of the graph).
  • From \(x = 40\) to \(x = 60\), as \(x\) increases (from \(40\) to \(60\)), \(y\) increases (from \(- 30\) to \(30\)). The interval for this part is \((40,60)\)

Answer:

Interval 1: \((0,10)\)
Interval 2: \((40,60)\)