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

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

21

jk it's 20

step-by-step explanation: