Question

graph the function xy + 16 = 0

Answer 1

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Answer 2

Answer:

Refer the attached figure below.

Step-by-step explanation:

Given : The function $xy + 16 = 0$

To find : The graph of the function?

Solution :

First we write the function in terms of y,

i.e,

$xy + 16 = 0$

$xy=-16$

$y=-\frac{16}{x}$

Now, we find the points in different values of x and y,

Put x=-4

$y=-\frac{16}{-4}=4$

Point (-4,4)

Put x=-8

$y=-\frac{16}{-8}=2$

Point (-8,2)

Similarly we put points and create a table,

x       y

-8       2

-4       4

-1        16

1        -16

2         -8

4         -4

Vertical asymptote x=0

Horizontal asymptote y=0

Now, we plot the points and make the graph of the function.

Refer the attached figure below.