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Sketch the graph of the piecewise defined function.$f(x)=\left\{\begin{array}{ll}{3} & {\text { if } x<2} \\ {x-1} & {\text { if } x \geq 2}\end{array}\right.$

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Algebra

Chapter 3

Functions

Section 2

Graphs of Functions

Missouri State University

McMaster University

Harvey Mudd College

Baylor University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Let's start by drawing our access where this is zeal. And 123 this is 123 Okay, Now, if when X is less than two hour function equals 23 So let's draw that. But now notice. This is X less than two, but not equals two. So it gets to to will have, ah, heart of circle. Now, if excess a lot larger or equal to two then affects half this form, what does this function looked like? Let's quickly draw. Oh, the rest of our axes. Well, this graph means this this function tells me that it's slope this one and it intersects the white at the Y axis at minus one. So it should look like this like that. It's not a perfect graph, Okay, But we only want the park that that's from X equals two onwards. So we only want this section here, okay, and can remove this. This whatever effects looks like

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