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