A graph of a function is plotted on a Cartesian coordinate plane. A closed point $\left(4,-4\right)$(4,−4) is plotted as a solid dot. To the left of $\left(4,-4\right)$(4,−4), a straight horizontal line extends continuously to the left. An open point $\left(4,3\right)$(4,3) is plotted as a hollow dot. From $\left(4,3\right)$(4,3), a straight horizontal line extends continuously to the right. The coordinates of the points are not explicitly given or labeled on the graph.

Define the function for $x>4$x>4.

Define the function for $x\le4$x≤4.

Easy

< 1min

The function $f\left(x\right)$f(x) is defined below:

Easy

4min

Consider the graph of $y=f\left(x\right)$y=f(x).

Easy

1min

The function $f\left(x\right)$f(x) is defined as:

$f\left(x\right)$`f`(`x`)	$=$=		$2$2	when $x<0$`x`<0
			$x+2$`x`+2	when $x>0$`x`>0

A piecewise function is defined as $f(x)$f(x). When $x$x is less than $0$0, $f(x)$f(x) equals $2$2. When $x$x is greater than $0$0, $f(x)$f(x) equals $x+2$x+2. The function is represented with a brace that groups these two cases, along with their respective conditions.

Easy

3min

1.07 Piecewise functions

Interactive practice questions

What is Mathspace

About Mathspace