Functions and Continuity

Describe the graph as discrete, continuous, or discontinuous.

• Discrete

• Continuous

• Discontinuous

• Yes
• No

Does the graph represent a linear function, a non-linear function, or is it not a function?

• Linear Function

• Non-Linear Function

• Not a Function

Describe the graph as discrete, continuous, or discontinuous.

• Discrete

• Continuous

• Discontinuous

Find where the function is continuous

• (-∞,-1)(-1,3)(3,∞)

• (-∞,∞)

• (-∞,-3)(-3,1)(1,∞)

• (-∞,-2)(-2,3)(3,∞)

Which of the following best describes the continuity at x = 0?

• Continuous

• Removable Point Discontinuity

• Non-removable Infinite Discontinuity

• Non-removable Jump Discontinuity

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

• TRUE

• FALSE

• a

• b

• c

• d

Which of the following best describes the continuity at x = 5?

• Continuous

• Removable Point Discontinuity

• Non-removable Infinite Discontinuity

• Non-removable Jump Discontinuity

Which of the following best describes the continuity at x = 1?

• Continuous

• Removable Point Discontinuity

• Non-removable Infinite Discontinuity

• Non-removable Jump Discontinuity