8/3/2019 Fall Final Review Points Game

1/4

Let f(x) be defined a s the following:

() {

For what values of x isf(x) NOT continuous and why?

ESTIMATE the limit at the following points. If it does not exist, write DNE.

Let() .Determine

a) ()b) ()c) ()

Now, I have

_______

pointsI wager_______.

Now, I have

_______

pointsI wager_______.

I have

100 points

I wager

_______.

8/3/2019 Fall Final Review Points Game

2/4

Circ le on the function below the val ues where the derivative is POSITIVE.

Find the equation of the tangent line to the graph ( )at .

Suppose that in thours, a truck travels () miles where () (a) Find () (). What does this represent?(b) What i s the average rate of change of di stance with respect to time (average velocity) from to ?

Wha t is the trucks instantaneous rate of change of d istance with respect to time (speed) at ?

Now, I have

_______

pointsI wager_______.

Now, I have

_______

pointsI wager_______.

Now, I have

_______

pointsI wager_______.

8/3/2019 Fall Final Review Points Game

3/4

Where is the function above not differentiable and why?

Differentiate.

Differentiate.()

Now, I have

_______

pointsI wager_______.

Now, I have

_______

pointsI wager_______.

Now, I have

_______

pointsI wager_______.

8/3/2019 Fall Final Review Points Game

4/4

Is the function given by

()

continuous at x=5? Why or why not?

Let () . Determine () , the derivative of()by using the limit defini tion of thederivative (the l ong way)

Find the derivative of() ( )

Now, I have

_______

pointsI wager_______.

Now, I have

_______

pointsI wager_______.

Now, I have

_______

pointsI wager_______.