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3 years ago

How to find where a function is increasing or decreasing?

1 answer:

4 0

Take the derivative, then plug in any number in the domain. If the number is positive the function is decreasing, if it's negative it's decreasing.

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Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

Makovka662 [10]

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

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

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that $a = -3, b = 3$

$f(x) = x^2 + 3x + 6$

$f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24$

$f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6$

Average rate of change

$A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5$

The average rate of change of the function over the interval is 5.

8 0

3 years ago

Explain how the exteriorv relates to the i

OverLord2011 [107]

Step-by-step explanation:

in this situation

A+B =D

5 0

3 years ago

Subtract whole number estimate.then find the difference estimate 428,734 -175,842

diamong [38]

You are estimating each into whole numbers. They are already whole numbers, and so just subtract.

428,734 - 175,842 = 252892

252,892 is your answer

hope this helps

3 0

3 years ago

Help me plz !!!!!! i need help be honest

klemol [59]

THE ANSER is commutative property of addition

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3 years ago

Help please!! i need to find the value of x

Marina86 [1]

If the lines are congruent it should be 2 because 4 should be double of x

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3 years ago