# Discontinuous function

Not what you're looking for?

Define a discontinuous function and state the conditions for discontinuity.

Find whether the following functions are discontinuous: f(x)=1/x and f(x)=(x)^(1/2)

Solve the following:(involves jump discontinuity)

A tomato wholesaler finds that the price of newly harvested tomatoes is $16 per pound if he purchases fewer than 100 pounds each day. However, if he purchases at least 100 pounds daily, the price drops to $14 per pound. Find the total cost function.

##### Purchase this Solution

##### Solution Summary

This shows how to determine if functions are discontinuous and solves a problem using jump discontinuity.

##### Solution Preview

Definition of Discontinuous function:

If the function is not continuous at c then is said to be discontinuous at c.

Note that is discontinuous at if one (or more) of the three conditions given in the definition for continuity fails to hold.

Conditions for Discontinuity:

f is discontinuous at under any of the following ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Probability Quiz

Some questions on probability

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.