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faltersainse [42]
4 years ago
11

Look at the function f(x) = x3 - 4 x. which describes an interval in which the function is increasing?

Mathematics
1 answer:
Bad White [126]4 years ago
5 0
Differentiate it
 get  f ' (x)=3x^2-4
put 3x^2-4=0
x=2/√3,-2/√3
so interval 
x∈(-2/√3,2/√3)
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Devise the exponential growth function that fits the given​ data, then answer the accompanying question. Be sure to identify the
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Answer:

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What is the reference point (t=0)?

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Step-by-step explanation:

The exponential growth model for the cost is the following:

C(t) = C_{0}e^{rt}

In which C(t) is the cost after t years, C_{0} is the initial cost and r is the decimal inflation rate

In this problem, we have that:

C_{0} = 190, r = 0.04

What will it cost in 2015 assuming the rate of inflation remains​ constant?

2015 is 10 years after 2005, so this is C(10).

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C(10) = 190*e^{0.04*10} = 283.45

The cost in 2015 will be $283.45.

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4 years ago
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Answer:

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Step-by-step explanation:

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

  -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

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∴ The ordered pairs of the function f(x) are:

  (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

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∴ The value of f(x) when x = 3 is -2

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∴ The value of x when f(x) = -5 is 4

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