A function f(x) is said to have a jump discontinuity at x = a if: 1....

Transcribed Image Text:

A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. x→a 2. lim f(x) exists. x-a 3. The left and right limits are not equal. Let f(x) 4x1, 3 x +9 = if x < 4 if x ≥ 4 Show that f(x) has a jump discontinuity at x = 4 by calculating the limits from the left and right at x = 4. lim f(x) z-4- lim f(x) Now for fun, try to graph f(x). Note: You can earn partial credit on this problem. A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. x→a 2. lim f(x) exists. x-a 3. The left and right limits are not equal. Let f(x) 4x1, 3 x +9 = if x < 4 if x ≥ 4 Show that f(x) has a jump discontinuity at x = 4 by calculating the limits from the left and right at x = 4. lim f(x) z-4- lim f(x) Now for fun, try to graph f(x). Note: You can earn partial credit on this problem.

Answer rating: 100% (QA)

let fix 4x1 3 lim fed x 14 l... View the full answer