I need help with this math scrambel

<img src="https://tex.z-dn.net/?f=Y%3D%5Cfrac%7B-2%7D%7Bx%7D%2B4" id="TexFormula1" title="Y=\frac{-2}{x}+4" alt="Y=\frac{-2}{x}+

Studentka2010 [4]

Part A: Vertical asymptote is $x=0$

Part B: Domain is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: Horizontal asymptote is $y=4$

Part D: Range is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Explanation:

Part A: We need to determine the vertical asymptote

The vertical asymptote of a function can be determined by equating the denominator equal to zero.

Thus, we have,

$x=0$

Hence, the vertical asymptote is $x=0$

Part B: We need to determine the domain

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Let us take the denominator and equate to zero.

Hence, we have, $x=0$

Therefore, the function is undefined at the point $x=0$

Thus, the domain of the function is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: We need to determine the horizontal asymptote

The horizontal asymptote of the function can be determined by dividing the leading coefficient of the numerator by leading coefficient of the denominator.

Thus, we have, $y=4$

Hence, the horizontal asymptote of the function is $y=4$

Part D: We need to determine the range

The range of the function is the set of all dependent y -values of the function.

In other words, the range of the function can be determined by substituting the values for x.

Thus, we have,

$\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Therefore, the range of the function is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

6 0

3 years ago

What expressions are equivalent to -4+(4+5)

Anit [1.1K]

Answer and Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~I'll~be~answering~your~question!$

$This~equation~is~really~simple~actually.$

$-4+(4+5)$

$=-4+9$

$=5$

$5~is~the~answer~to~your~question!$

4 0

3 years ago

Read 2 more answers

Determine the input value for which the statement f(x) = g(x) is true.

Naya [18.7K]

Answer:

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Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

please help i need to put the things on the right inside the boxes please help ik this app is like dead and people just farm but

STALIN [3.7K]

Slope: (y2-y1)/(x2-x1)

Slope 2:

Column 1 --> 1,4

Column 2 --> 3

Slope ½:

Column 1 --> 2, 3

Column 2 --> 1

Slope -3/2:

Column 2 --> 2,4

5 0

3 years ago

What is the weight difference??

Nana76 [90]

Answer:

32 lbs

Step-by-step explanation:

John weighs 104 lbs

Rita weighs 136 lbs

The difference is 136-104 = 32 lbs

7 0

3 years ago