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4 years ago

What is the end behavior of the function f(x)= -3x^7+4x^5-14?

Mathematics

1 answer:

adoni [48]4 years ago

5 0

Answer:

f(-∞) → ∞
f(∞) → -∞

Step-by-step explanation:

The degree of the function is odd, so the ends tend in opposite directions. The leading coefficient is negative, so the right end (as x gets large) will tend toward -∞. Then the left end tends toward +∞.

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If the degree is even, both ends tend in the same direction. That direction matches the sign of the leading coefficient.

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Based on your understanding of sound waves,

Olin [163]

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The frequency increases as the pitch increases, and the amplitude increases as the volume increases

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3 years ago

The supply and demand curves for a market are graft below with price in dollars and quantity in thousands. Which of the followin

lesya692 [45]

Answer:

B) A market equilibrium price less than $30

Step-by-step explanation:

When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.

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2 years ago

Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9

lorasvet [3.4K]

Using the asymptote concept, we have that:

The vertical asymptote is x = 9.

The horizontal asymptote is y = 3.

The end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$f(x) = \frac{3x}{x - 9}$

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3$

Hence, the end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

8 0

2 years ago

ILL GIVE BRAINLIEST ON THIS QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!

DochEvi [55]

Answer:

15.25 or 15 if you need it to be rounded.

Step-by-step explanation:

-11 on both sides to get 5x=1x+61. Then, -1x on both sides to get 4x=61. Then to find x you do 61 divided by 4 which is 15.25.

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3 years ago

Which of the following is the coefficient in the algebraic expression 8x + z2

Olin [163]

Answer:

Step-by-step explanation:

Hope this is right! ;)

3 0

3 years ago