 Piecewise Functions,
a selection of answers from the Dr. Math archives.
 What are Piecewise Functions?
 I know piecewise functions are based on expressions between specific
intervals, but I do not know how to describe this function family.
 Determining Whether a Function is Continuous
 How can you tell whether or not a function is continuous?
 Graphing Piecewise Functions
 I do not understand how to graph piecewise functions.
 Piecewise Function
 How do you graph the piecewise function?
 Functions: Domain, Range, and
Piecewise
 What are piecewise functions? What are open and closed points?
How do you figure out the domain and range of a function without graphing
it on a calculator?
 Continuity and Differentiability of
Piecewise Function
 What values of "a" and "b" will make this piecewise function continuous
and differentiable?
 Find a Function, Integrals
 Suppose the graph of f has the formula f(x)=x+1 for 0<=x<=1; x1
for 1<x<=2 ...
 Piecewise Notation and Absolute Value
 How do I use piecewise notation to write x in terms of y for "y=2x+ abs(2x)"?
 Best Curve Fit
 I have a series of points on a graph that form a piecewise equation
that 'steps' down as x increases. I need to create an equation from these
points that approximates values through the step, i.e. a natural log graph.
 Differentiability, Intervals,
Inflection Points of Piecewise Function
 For what values of k and p will the function be continuous and differentiable?
On what interval will it be increasing? Find all points of inflection.
 Calculus of Piecewise Functions
 Can I take the integral or derivative of a piecewise function like the floor
function [u] or the absolute value function u and still notate it in concise
form, U or [U]?
