Question

The graph of a function f is given. Use the graph to estimate the following. (Enter your answers using interval notation.)

Answer 1

Using the graph and function concepts, it is found that:

a) The domain is $[-5,4]$, while the range is $[-2,-5]$

b) The function is increasing in $[0,1]$ and $[2,3]$, and decreasing $[-5,0], [1,2]$, and $[3,4]$.

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• The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the graph.
• The range of a function is given by it's output values, that is, the values of y, the vertical axis on the graph.
• If the graph is pointing upwards, the function increases.
• If the graph is pointing downwards, the function decreases.

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Item a:

• On the graph, the x-values are from -5 to 4, thus the domain is: $[-5,4]$
• The y-values are from -2 to -5, thus, the range is: $[-2,-5]$

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Item b:

• On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in $[0,1]$ and $[2,3]$.
• On the other intervals,  $[-5,0], [1,2]$, and $[3,4]$, the function is decreasing.

A similar problem is given at brainly.com/question/10891721