- 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; x-1
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(2-x)"?
- 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]?
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