Graphing Radical Functions

We want to match the given radical function with its graph. $f (x) = x - 1$ To do so, we will start by making a table of values. Recall that the radicand cannot be negative. $x - 1 \geq 0 \Leftrightarrow x \geq 1$ Therefore, we will use $x -$ values greater than or equal to $1 .$ Let's start!

$x$	$x - 1$	$f (x) = x - 1$
$1$	$1 - 1$	$0$
$2$	$2 - 1$	$1$
$3$	$3 - 1$	$1.414 \dots$
$4$	$4 - 1$	$1.732 \dots$

The ordered pairs $(1, 0),$ $(2, 1),$ $(3, 1.414),$ and $(4, 1.732)$ all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.

As we can see, the graph of the function is given in choice A.

Graphing Radical Functions 1.7 - Solution