A continuous function is defined as a function that you can draw without lifting your pencil from the paper. A function is continuous if its graph is an unbroken curve; the graph has no holes, gaps, or breaks.
In order for a function to be continuous, the following must be true about the function:
1) f (a) is defined
2) f (x) exists
3)f (x)=f (a)
In order for a function to be continuous, the following must be true about the function:
1) f (a) is defined
2) f (x) exists
3)f (x)=f (a)
Asymptotic discontinuities occur when a function approaches infinity at a specific value of x or y.
Removable/Point discontinuities occur when a function is defined specifically for an isolated x- value.
Jump discontinuities occur where the function approaches two different values from either side of the discontinuity.
Example:
Removable/Point discontinuities occur when a function is defined specifically for an isolated x- value.
Jump discontinuities occur where the function approaches two different values from either side of the discontinuity.
Example:
Answer: Continuous