8. Continuous Functions??
• A function is continuous if it has an infinite
domain and forms a smooth line or curve
• Simply put: It has NO BREAKS!!!
• You should be able to trace it with your
pencil from left to right without picking up
your pencil
8
9. The domain of the function y = f (x) is the set of
values of x for which a corresponding value of y exists.
The range of the function y = f (x) is the set of values of
y which correspond to the values of x in the domain.
y
Range
4
-4
Domain
x
10. Example: Find the domain and range of the
x + 3 from its graph.
function f (x) =
y
Range (–3, 0)
1
–1
Domain
The domain is [–3,∞).
The range is [0,∞).
x