what two types of discontinuous functions are considered nonremovable discontinuity
What is Jump and Infinite
200
the concept of approaching a value without necessarily ever reaching it
What is a limit
300
using the chart complete the sentence
x -2 -1 0 1 2 3
y 6 3 2 3 6 11
as x approaches 0 from the left and right
y ?
What is y is approaching 0 from the left and right
300
does f(2) exist for the function f(x) = 3x - 5
What is yes
300
do the lines or x values ever cross the point of continuity in a discontinuous function.
what is no
300
a characteristic of a function in which the function has two distinct limit values as x – values approach c from the left and right
What is jump discontinuity
400
is the function f(x) = 1/x a continuous function at x = 0
What is no. a function can not have 0 in its denominator
400
what three conditions must be followed to determine if a graph is continuous
What is
1. f(x) is defined at c. ( f(c) exists
2. f(x) approaches the same value from either side of c.
lim f(x) exist
x → c
3. the value that f(x) approaches from each side of c is f(c)
lim f(x)= f(c)
x → c
400
a function that is continuous everywhere except for a hole at x = c
What is removable discontinuity/ discontinuous function
400
what is an infinitely discontinuous function
What is a function in which the absolute value of the function increases or decreases indefinitely as x – values approach c from the left and right
500
draw a jump discontinuous function
500
what three conditions must be met in order for a function to be continuous
What is What is
1. f(x) is defined at c. ( f(c) exists
2. f(x) approaches the same value from either side of c.
lim f(x) exist
x → c
3. the value that f(x) approaches from each side of c is f(c)
lim f(x)= f(c)
x → c
500
can a nonremoveable discontinuous function be eliminated by redefining the function at that point?