hi i need help with these asap


please...


1.
If , then is continuous at


Choice

0

everywhere


2.
The equation
implicitly defines as a function of . Find .



3.

is discontinuous at ____ because _________________
(More than one selection may be correct. Keep in mind that if a function tends to infinity as , the limit does not exist at .)
Choice
because does not exist.
because does not exist.
because does not exist.
because does not exist.
because
Number of available correct choices: 2

4.

If ,
then we have

(Select the correct statement(s).)

Choice
f is both continuous and differentiable at x = 0
f '(x) exists for all x except x = 0 f is not continuous at x = 0
f '(x) is continuous for all x
f '(x) does not exist anywhere
f '(x) exists for all x but is not continuous for all x
f is continuous at x = 0 but not differentiable at x = 0
Number of available correct choices: 2

5.

Above is the graph of a function . Sketch the graph of ?
6.

If ,
then at 0, is??



7.


Find if .

8.



. Select the intervals on which the function is continuous.
Choice






Number of available correct choices: 3