Question

A function is said to be _____ if it can be drawn without picking up the pencil​

Answer 1

Answer:

B) a function is said to be CONTINUOUS,,,,,

Answer 2

A function is said to be CONTINUEOUS if it can be drawn without picking up the pencil​

Continuous Function

• A function whose graph is single curve with out any break
• A function whose graph is continuous  
• Function f(x) is continuous at a point a if  $\lim_{x \to a} f(x)=f(a)$
• Graph of continuous function can be drawn without picking up pen/pencil
• Does not have any abrupt changes in value
• f(x) = x + 1  is an example of continuous function

Discontinuous Function

• A function whose graph has at least discontinuity at one point
• A function whose graph is not continuous  
• Graph can not be drawn without picking up pen/pencil

A function is said to be CONTINUEOUS if it can be drawn without picking up the pencil​.