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dusya [7]
2 years ago
6

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

Mathematics
1 answer:
Annette [7]2 years ago
3 0

Answer:

\frac{4}{3}

Step-by-step explanation:

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

\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}

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!

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

Good luck!

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