Think you’ve got your head wrapped around **Continuity of Functions**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q.

- Consider the following statements:

I. *f*(*c*) is defined

II. exists

III.

We say "*f* is continuous at *c*" if the following statements hold:

I

II

I, II

I, II, III

Q. Which of the statements is true about the function *f* graphed below?

Q. Let

Identify all points at which <em>f</em> is discontinuous.

Q. Identify all points at which *f* is discontinuous.

Q. On which of the following intervals is *f* continuous?

(-1,1)

(0,3)

(2,4)

(0,4)

Q. On which of the following intervals is *g* discontinuous?

(-10,2)

(2,4)

(3,4)

(3,5)

Q. Let

On which of the following intervals is *f* continuous?

(-2,0)

(1,5)

(4,6)

(-1,1)

Q. Let

On which of the following intervals is *f*(*x*) continuous?

(-1,1)

[0,1)

(-1,0]

[-1,1]

Q. Let *f*(*x*) = *x* + 1 and *g*(*x*) = *x* - 1. Which of the following statements is false?

The function is continuous at *x* = 1.

The function is continuous at *x* = -1.

The function *f* + *g* is continuous at *x* = 1.

The function is continuous at *x* = 1.

Q. Which of the following functions is not continuous?