Table of Contents

## How do you write a piecewise function?

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1

**How do you graph a piecewise function on a TI 83?**

To graph a piecewise-defined function, each piece of the function along with the x-interval for which the piece is defined must be entered into the y(x)= screen. Note that parentheses must be placed around each inequality statement and each piece of the restriction. Then graph in a standard viewing window.

**What is the advantage of using piecewise functions?**

Consider a new function, g(x). The piecewise function allows for common manipulations, such as simplifications. The addition of the selector ‘piecewise’ indicates to simplify that it should only do simplifications as they apply to piecewise functions. This is more efficient, in general.

### How do you evaluate an integral with a piecewise function?

Evaluate the integral with values for the lower and upper bounds. where Si (x) is the Sine integral function. Note: This works because discont is able to determine the potential discontinuities of piecewise functions. For example, Consider a new function, g(x). The piecewise function allows for common manipulations, such as simplifications.

**What is the function piecewise in curvefitting?**

The function piecewise lets us work with the CurveFitting [Spline] command. For example, This spline can be graphed. But now we can also integrate it.

**Is it possible to plot the rational and irrational functions piecewise?**

That function is not piecewise, and it cannot be plotted by any software. It’s theoretically impossible. The best that you could do is plot a line segment from (0,1) to (1,1) to represent the rationals and another from (0,0) to (0,1) to represent the irrationals.