Mathematics Final Examination

When both the right- and left-hand sides of a graph are approaching the same number....

• The limit does not exist

• The limit exists

• It depends on the number being approached

Find the limit : limx→1 1x

• 0

• 1

• ∞

Find the limit by factoring:

• 8

• 0

• 16

Find

• 4

• -2

• -3

We use factoring in limits, if you end up with:

• 0

• An indeterminate limit like 00

• 1

Find the limit by factoring:

• 6

• 36

• 12

Find the average rate of change of f(x)= x+4 if a= -3 , and b= 0.

• 0

• 1

• 3

• -1

Find the derivative of f(x) = 2x2+3x

• f(x) = 5x+3

• fx=4x+3

• fx=2 + 3x

The first derivative notation is:

• f(x)

• f''(x)

• y

Find the derivative of fx= x

• 12

• 12x2

• 12x -12