Functions and Limits

Is continuous at 5?

• Yes the function is continuous at 5.

• No the function is not continuous at 5.

Tags

limits

one-sided limits

Is f continuous at 4?

• Yes the function is continuous at 4.

• No the function is not continuous at 4.

Tags

one-sided limits

limits

Tags

x intercepts

• 0

• 2

• -2

• 3

Tags

function notation

values of functions

From the table, determine if a limit exists at 2 and, if so, what is it?

• yes the limit exists; .8

• no the limit does not exist

• yes the limit exists; 2

• yes the limit exits; 8

Find the limit as x approaches 1.

• 0

• 3

• DNE

• ∞

Find the limit.

• 0

• DNE

• 6/5

• 15

Find the limit.

• 1/8

• 8

• -1/8

• DNE

What three conditions must exist for a function to be continuous?

• ƒ(c) must exist

• the limit as x → c must exist

• the limit as x →c must equal ƒ(c)

• all functions are continuous

For what values of x does f(x) have a horizontal tangent?

• -3.5, 3.5

• -5, 5

• there are no horizontal tangents

• -5, 0, 5