Use the drawing tools to form the correct answers on the grid.

plot any discontinuities of the function f(x)= 1/(x^2+2)

The function is continuous for all real numbers

Step-by-step explanation:

To know the possible points of discontinuity of this function, we must find out when the denominator of the function is equal to 0.

The denominator is:

Then we equal 0 and clear x

for any real number.

This means that

for all reals numbers.

Therefore, the function is continuous for all real numbers, that is, it does not have discontinuities.

The graphic of this function is shown in the image

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: