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Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.
please and thank you

Calculate the average rate of change for the given graph from x 2 to x 0 and select the correct answer below please and thank you class=

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carlosego

Keywords:

average rate of change, parabola, interval, points

For this case we have to find the average rate of change of a parabola in the interval from[tex]x = -2[/tex] to [tex]x = 0[/tex]. To do this, we need two points for the parabola pass, and apply the following formula:

[tex]AVR = \frac {f (x_ {2}) - f (x_ {1})} {x_ {2} -x_ {1}}[/tex]

We have the following points, taking into account that[tex]y = f (x)[/tex]:

[tex](x_ {1}, f (x_ {1})) = (- 2, -1)\\(x_ {2}, f (x_ {2})) = (0, -1)[/tex]

Substituting:

[tex]AVR = \frac {-1 - (- 1)} {0 - (- 2)}\\AVR = \frac {-1 + 1} {0 + 2}\\AVR = 0[/tex]

So, the average rate of change for the given graph is 0 in the given interval

Answer:

[tex]AVR = 0\ from\ x = -2\ to\ x = 0[/tex]

Answer:

Average rate of change(A(x)) of f(x) over the interval [a, b] is given by:

[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]

As per the statement:

From the given graph as shown :

At x = -2

then;

f(-2) = -1

At x = 0

then;

f(0) = -1

To find the average rate of change for the given graph from x = –2 to x = 0 .

Substitute the given values we have;

[tex]A(x) = \frac{f(0)-f(-2)}{0+2}[/tex]

⇒[tex]A(x) = \frac{-1-(-1)}{2}[/tex]

⇒[tex]A(x) = \frac{-1+1}{2}[/tex]

⇒[tex]A(x) =0[/tex]

Therefore, the average rate of change for the given graph from x = –2 to x = 0 is, 0

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