Functions and Continuity

On what interval is the following function continuous?

• (-∞,-2)u(-2,∞)

• [-2,2]

• (-2,2)

• (-∞,-2]u[-2,∞)

For what value of x is the following function discontinuous?

• 3

• -3

• 6

• -6

Is the following function continuous at x=0?

• Continuous

• Discontinuous

For what value of x is the following function discontinuous?

• -1

• -2

• -3

• -4

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

The funciton f(x) = x²-2x+1, continuous on the interval [-7,7]

• TRUE

• FALSE

A piecewise function is continuous to any any interval.

• TRUE

• FALSE