Continuity x \u00b7 version 1x - Continuity Discontinuity of Functions Continuity of Functions Illustrate continuity of a function at a point 1 2

Continuity x u00b7 version 1x - Continuity...

This preview shows page 1 - 32 out of 32 pages.

Continuity & Discontinuity of Functions
Continuity of Functions 1. Illustrate continuity of a function at a point; 2. Determine whether a function is continuous at a point or not; 3. Illustrate continuity of a function on an interval; and 4. Determine whether a function is continuous on an interval or not.
Concept of Continuity Geometrically, the graph of a function is continuous if there is no gap or break in the graph. That is, a function f is continuous at a point where x= a if its graph passes through the point with coordinates ( a, f(a)) without a break in the line or curve.
Continuity of Functions a. Continuity at a Point Example #1 Example #2
a. Continuity at a Point
a. Continuity at a Point Example #4: Determine if f(x) = x 3 + x 2 – 2 is continuous or not at x = 1. Example #5: Determine if f(x) = is continuous or not at x = 0. Example #6: Determine if f(x) = is continuous or not at x = 2. Example #7 : Determine if Is continuous or not at x = 4
b. Continuity on an Interval
b. Continuity on an Interval
b. Continuity on an Interval a. (-1 , 1) continuous b. (- ∞, 0) continuous c. (0, +∞) continuous
b. Continuity on an Interval a. (-1 , 1) not continuous b. [0.5 , 2] continuous
b. Continuity on an Interval
b. Continuity on an Interval
b. Continuity on an Interval
Seatwork

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture