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3 years ago

9

The graph of a function f is shown. Use the graph to estimate the average rate of change from x=-2 to x=0

1 answer:

Llana [10]3 years ago

8 0

Answer:

2

Step-by-step explanation:

Given:

The interval, x = -2 to x = 0.

Required:

Average rate of change from x = -2 to x = 0.

SOLUTION:

From the graph,

If x = -2, f(-2) = 0.

If x = 0, f(0) = 4

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = -2, f(a) = 0$

$b = 0, f(b) = 4$

Plug in the values into the formula:

$= \frac{4 - 0}{0 -(-2)}$

$= \frac{4}{2} = 2$

Average rate of change from x = -2 to x = 0 is 2.

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Answer:

Second choice:

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Fifth choice:

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Step-by-step explanation:

Let's look at choice 1.

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Let's look at choice 2.

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Let's plug this into equation 2:

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Plug into second equation:

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Choice 4:

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I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

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Divide both sides by 2:

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Plug into equation 1:

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Plug into equation 2:

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$y=x^2+2x-3$ .

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