Find any points of discontinuity for y=x^2/x^2+1

The function is continuous for all real numbers

Step-by-step explanation:

We have the following function

Note that the denominator of the function is:

This expression is different from zero for all real numbers, since for then , there is no number in the real numbers whose square root is equal to -1.

For this reason the function is defined for all real numbers and has no discontinuity.

This function is always positive, continuous and has horizontal asymptote

Observe the attached image

answer:

b: hannah charges a $7.00 initial fee

step-by-step explanation:

jaya's plan:

jayna charges $10 for the first hour, and $3 for each additional hour she babysits.

let she did job for h hours.

so, cost for first hour = $10

so, remaining hours = h-1

cost for each additional hours = $3

so, cost for (h-1) hours = 3(h-1)

so, jayna,s plan equation for h hours =

hannah's plan equation =

where d = dollars charged

h = hours

a)if they babysit for 5 hours, jayna will earn more

jayna,s plan equation   =

substitute h = 5 hours

so, jayna's earning =

hannah's plan equation =

substitute h = 5

so, hannah's earning =

since jayna is earning less .

so, option a is incorrect.

b)hannah charges a $7.00 initial fee

hannah's plan equation =

charges for h hours = 7h

so, charges for 1 hour = 7

thus option b is correct.

c) if they only babysit for 1 hour, hannah will earn more

jayna,s plan equation   =

substitute h = 1 hours

so, jayna's earning =

hannah's plan equation =

substitute h = 1

so, hannah's earning =

since hannah is earning less .

so, option c is incorrect.

d)jayna charges a lower hourly rate than hannah

jayna first hour earning = $10

hannah first hour earning = $7

since jayna charges a higher hourly rate than hannah.

so, option d is incorrect.

hence hannah charges a $7.00 initial fee compares the both.