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Greeley [361]
3 years ago
10

What is the end behavior of f(x)=4x^4-3x^2?

Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

as x→∞, y→∞

as x→-∞, y→∞

Step-by-step explanation:

To tell what the end-behavior is, look at the x with highest exponent value in the function.

f(x) = 4x⁴ - 3x²

The highest power is x⁴.

Our highest exponent value is 4.

If the highest power is an even number, the end behavior is:

  as x→∞, y→∞

  as x→-∞, y→∞

this is always true. It's part of the rule for end-behavior.

The end behavior graph for an even power will look like the graph for x².

This is also always true. It will always look like this if the highest power is an even number.

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Which shaded grid represents 44%
Galina-37 [17]

Answer: third one

Step-by-step explanation:

5 0
3 years ago
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Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?
Archy [21]

Mr. Gardener's annual interest rate is 8%.

40,000/500,000 = 0.08

8 0
3 years ago
Determine the domain and range of the function f(x)= 3x+2. Also, state the intervals where the function f(x)= 3x+ 2 is increasin
aev [14]

Answer:

Increasing on it's domain (-\infty,\infty) because the slope is positive.

The domain and range are both all real numbers, also known as

(-\infty,\infty).

Step-by-step explanation:

All domain really means is what numbers can you plug in and you get number back from your function.

I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.

The domain is all real numbers.

In interval notation that is (-\infty,\infty).

Now the range is the set of numbers that get hit by y=3x+2.

Well y=3x+2 is a linear function that is increasing.  I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.

If slope is positive, then the line is increasing.

If slope is negative, then the line is decreasing.

So y=3x+2 hits all values of y because it is increasing forever.  The range is all real numbers. In interval notation that is (-\infty,\infty).

3 0
3 years ago
3.602 × 10 − 4 thx luvs
lorasvet [3.4K]

♡ The Question ♡

- 3.602 × 10 − 4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

- 32.02

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

- 3.602 x 10 - 4

Multiply the numbers: 3.602 x 10 = 36.02

= 36.02 - 4

Subtract the numbers: 36.02 - 4 = 32.02!

= 32.02

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

- No tips provided!

6 0
3 years ago
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Determine what type of model best fits the given situation: water leaking from a local reservior at the rate of 500 gallons per
schepotkina [342]

The type of model that best fits the given situation is; A linear equation  Model

<h3>What is the model of the equation?</h3>

Right inside the local reservoir we will have an initial amount of water A.

Now, for every hour that passes by, the amount of water in the reservoir decreases by 500 gals.

Thus, after t hours, the amount of water in the reservoir is expressed as:

W = A - 500gal * t

This is clearly a linear equation model and so we can conclude that the model that fits best in the given situation is a linear model.

The domain of this model is restricted because we can't have a negative amount of water in the reservoir,  and as such the maximum value of t accepted is: W = 0 = A - 500gal*t

t = A/500 hours

Therefore, the domain of this linear relation is: t ∈ {0h, A/500 }

Read more about Equation model at; brainly.com/question/25896797

#SPJ1

3 0
1 year ago
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