A function assigns the value of each element of one set to the other specific element of another set. All the points for the given graph are true. The average rate of change over the interval [-2,0] for the graph is 1.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
PartA:
For the given graph of the function, the following points are tr,
- Domain: (-3, 4]
- Range: (-3, 3]
- Increasing: (-3, -1)
- Decreasing (-1, 4)
- Positive: (-2, 2)
- Negative: (-3,-2), (2, 4)
Part B: The average rate of change over the interval [-2,0] for the graph is the slope of the line that connects the point of x=-2 and x=0 of the given graph.
Therefore, the slope of the line as shown below in red is,
Slope = (2-0)/(0+2) = 2/2 = 1
Hence, The average rate of change over the interval [-2,0] for the graph is 1.
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