Question

Use the graph below to answer the following question: graph of parabola going through 1, negative 3, and 3, 1 What is the average rate of change from x = 1 to x = 3? −4 −2 2 4 6

Answer 1

C. (2)

Explanation:

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Answer 2

2

Explanation:

The graph of parabola going through 1, negative 3, and 3, 1.

If y = f(x) represents the function of the parabola, then f(1) = - 3 and f(3) = 1.

Now, for a function y = f(x) the average rate of change from x = a to x = b is given by the expression
`(f(b) - f(a))/(b - a)`.

Therefore, the average rate of change from x = 1 to x = 3 will be

`(f(3) - f(1))/(3 - 1) = (1 - (- 3))/(3 - 1) = 2` (Answer)