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3 years ago

NO LINKS OR ASSESSMENT!! Part 2a: State the Domain and Range of each graph in BOTH inequality and interval notation

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

9514 1404 393

Answer:

see below

Step-by-step explanation:

The domain is the horizontal extent; the range is the vertical extent. Open circles indicate points not included in either. Any point on the curve is included in the domain and range.

1. D: -2 < x ≤ 2, (-2, 2]

R: -4 < y ≤ 4, (-4, 4]

2. D: -5 ≤ x ≤ 1, [-5, 1]

R: -1 ≤ y ≤ 5, [-1, 5]

3. D: -4 < x < 4, (-4, 4)

R: -1 ≤ y < 3, [-1, 3)

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Help pls? show work!!

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Find the horizontal asymptote of the graph of y = -4x^6 + 6x + 3/8x^6 + 9x + 3

Llana [10]

Option B : $y=-\frac{1}{2}$ is the horizontal asymptote.

Explanation:

The function is $y=\frac{-4 x^{6}+6 x+3}{8 x^{6}+9 x+3}$

The horizontal asymptote can be determined by

$y=\frac{leading \ coefficient \ of \ numerator}{leading \ coefficient \ of \ denominator}$

Thus, from the function, the leading coefficient of numerator is -4

The leading coefficient of denominator is 8

Thus, substituting the values in the formula $y=\frac{leading \ coefficient \ of \ numerator}{leading \ coefficient \ of \ denominator}$ , we get,

$y=\frac{-4}{8}$

Dividing, we get,

$y=\frac{-1}{2}$

Thus, the horizontal asymptote is $y=\frac{-1}{2}$

Hence, Option B is the correct answer.

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4 years ago

NO LINKS OR ASSESSMENT!! Part 2a: State the Domain and Range of each graph in BOTH inequality and interval notation​

NO LINKS OR ASSESSMENT!! Part 2a: State the Domain and Range of each graph in BOTH inequality and interval notation