contestada

Use the graph below for this question: graph of parabola going through negative 1, 5 and negative 2, 7.
What is the average rate of change from x = −1 to x = −2?
a:2
b:-2
c:4
d:-1

Respuesta :

Let the function be [tex]f(x)=ax^2+bx+c[/tex]. (this is the general form of a quadratic equation, whose graph is a parabola. a is different from 0)

The average rate of change from x=-1 to x=-2 is found by the formula:

[tex] \frac{f(-2)-f(-1)}{(-2)-(-1)}= \frac{f(-2)-f(-1)}{(-2)+1}= \frac{f(-2)-f(-1)}{-1}=-f(-2)+f(-1) [/tex].

We are given the points (-1, 5) and (-2, 7), so we have f(-1)=5 and f(-2)=7, thus

-f(-2)+f(-1)=-7+5=-2.


Answer: b: -2

Otras preguntas