What is the average rate of change of f over the interval -7 < or equal to xGive an exact number

What is the average rate of change of f over the interval -7 < or equal to x Give an exact number


[tex]What is the average rate of change of f over the interval -7 < or equal to x Give an exact numbe[/tex]

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  1. [tex]\frac{4}{3}[/tex]

    Step-by-step explanation:

    The average rate of change can be found by using the following formula

    [tex]\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}[/tex]

    Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

    By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

    Now that we know this, we can simply plug these values into the formula!

    [tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]

    Good luck!

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