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fredd [130]
3 years ago
6

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?

Mathematics
2 answers:
TEA [102]3 years ago
8 0

Answer:

Option C

Step-by-step explanation:

The average rate of change of f(x) will be represented by the slope between the given interval [-3, 2]

For x = -3 value of f(x) = -36

and for x = 2 value of f(x) = 4

So there are two points ( -3, -36 ) and ( 2, 4 ) through which function is defined.

Therefore, from the formula of slope = \frac{y-y'}{x-x'}

slope = \frac{4+36}{2+3}

          =  slope = \frac{40}{5}

          = 8

Option C is the answer.

maksim [4K]3 years ago
3 0
You would select the points with the x-values -3 and 2 and use the slope formula:
(-3, -36) and (2,4)
m= \frac{y_2-y_1}{x_2-x_1} ← slope formula
x1 = -3 y1 = -36 and x2 = 2 y2 = 4

m= \frac{4--36}{2--3} = \frac{40}{5} =8
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