Grade 12A Introduction to Continuity

in what value of x does the following function is discontinuous?

• 3

• -3

• 6

• -6

Does the following function is continuous at x=0?

• Continuous

• Discontinuous

In what value of x will the following function discontinuous?

• -1

• -2

• -3

• -4

What is the limits of the function when x approching a?

• Undefined

• 2

• Does not exist

What is the limit of the function as x approaches -4 from the left?

• 2
• -4
• DNE
• -2

A function is continuous on a number if and only if f(c) = lim f(x) as x approaches a number c.

• TRUE

• FALSE

One of the conditions a function must satisfy to be continuous at a number is "f(c) must exist"

• TRUE

• FALSE

One of the conditions a function must satisfy to be continuous at a number is "the value of the limit of f(x) is DNE"

• TRUE

• FALSE

A polynomial function is continuous to all real numbers.

• TRUE

• FALSE

What type of discontinuity occurs at x = 3?

• Hole

• Misplaced

• Vertical Asymptote

• Break/Jump