A function f(x) is said to have a jump discontinuity at x=a if: 1. limx→a− f(x) exists.

2. limx→a+ f(x) exists.

3. The left and right limits are not equal.

Let f(x)= {3x-3 if x <10

{4/x+4 if x ≥ 10

Show that f(x) has a jump discontinuity at x=10 by calculating the limits from the left and right at x=10.

lim f(x)=

x->10^-

lim f(x)=

x->10^+

Simply 8x squared + 5(7x squared- x) - 2x =

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.

Fatima plans to spend at least $15 and at most $20 dollars on sketch pads and pencils. if she buys 2 sketchpads, how many pemcils can she buy while staying in her price range? fatima can buy between and pencils. ? (type whole numbers. use ascending? order.)