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2 years ago

Describe how to find the average rate of change between x=3 and x=5 for the function f(x)= 3x^3+2

Mathematics

1 answer:

Anastasy [175]2 years ago

5 0

Answer:

We'll use the traditional "slope" formula, evaluating

$\frac{f(5) - f(3)}{5-3}$

To find f(5), plug in x = 5 to f(x).

3(5)^3 + 2 = 377

Same thing for f(3)

3(3)^3 + 2 = 83

$\frac{377-83}{5-3} = \frac{294}{2} = 147$

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Elina [12.6K]

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First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.

v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
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v(5) = (5)^2 - (5) + 10
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v(5) = 30

You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is $A(x) = \frac{f(x)-(f(a)}{x-a}$ . When you plug in the values from this particular case, the average rate of change formula becomes $A(t) = \frac{30-12}{5-2}$ , or $A(t)= \frac{18}{3}$ .

Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals 6.

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3 years ago

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Roman55 [17]

Answer:

(8x-7)(8x+7)

Step-by-step explanation:

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patriot [66]

Answer:

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According to the line of best fit, when x=360, y=30, which means that a teenager spends 30 minutes watching television if they spend 360 minutes on the computer.

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