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

2

Step-by-step 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 .

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

(Answer)

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form