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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=

Verified Answer :

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\(x = -2\) to \(x = 0\). To do this, we need two points for the parabola pass, and apply the following formula:

\(AVR = \frac {f (x_ {2}) - f (x_ {1})} {x_ {2} -x_ {1}}\)

We have the following points, taking into account that\(y = f (x)\):

\((x_ {1}, f (x_ {1})) = (- 2, -1)\\(x_ {2}, f (x_ {2})) = (0, -1)\)

Substituting:

\(AVR = \frac {-1 - (- 1)} {0 - (- 2)}\\AVR = \frac {-1 + 1} {0 + 2}\\AVR = 0\)

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

Answer:

\(AVR = 0\ from\ x = -2\ to\ x = 0\)

Answer:

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

\(A(x) = \frac{f(b)-f(a)}{b-a}\)

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;

\(A(x) = \frac{f(0)-f(-2)}{0+2}\)

⇒\(A(x) = \frac{-1-(-1)}{2}\)

⇒\(A(x) = \frac{-1+1}{2}\)

⇒\(A(x) =0\)

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

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