Find the average rate of change of the function below from x1 to x2.

f(x)=2x+7

from

x1=−1

to

x2=0

Question 9 options:

a)

2

b)

−12

c)

13

d)

-8

e)

none

Respuesta :

Answer:

The average rate of change is 2, letter a)

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval  [tex][x_{s}, x_{f}][/tex] will be given by the following equation:

[tex]S = \frac{f(x_{f}) - f(x_s)}{x_{f} - x_{s}}[/tex].

In our problem, we have that:

[tex]f(x) = 2x + 7[/tex]

[tex]x_{s} = -1[/tex]

[tex]x_{f} = 0[/tex]

So:

[tex]f(x_{s}) = f(-1) = 2(-1) + 7 = -2 + 7 = 5[/tex]

[tex]f(x_{f}) = f(0) = 2(0) + 7 = 0 + 7 = 7[/tex]

The average rate of change is:

[tex]S = \frac{f(x_{f}) - f(x_s)}{x_{f} - x_{s}} = \frac{7-5}{0 -(-1)} = \frac{2}{1} = 1[/tex]

The average rate of change is 2, letter a)

Answer:

wala akong alam jun

Step-by-step explanation:

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