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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We want to graph the given radical function.
$g(x)=5x−3 $
To do so, we will start by making a table of values. Recall that the radicand **cannot** be negative. With this in mind, we can first determine its domain as shown below.
$x−3≥0⇔x≥3 $
Therefore, we will use $x-$values *greater than or equal to* $3.$ Let's start!

$x$ | $5x−3 $ | $g(x)=5x−3 $ |
---|---|---|

$3$ | $53−3 $ | $0$ |

$4$ | $54−3 $ | $0.2$ |

$5$ | $55−3 $ | $0.282…$ |

$6$ | $56−3 $ | $0.346…$ |

$7$ | $57−3 $ | $0.4$ |

The ordered pairs $(3,0),$ $(4,0.2),$ $(5,0.282),$ $(6,0.346),$ and $(7,0.4)$ all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.

We can see above that the graph of the function goes to infinity in the positive direction. Therefore, its range are all values *greater than or equal to* $0.$
$Domain:Range: x≥3y≥0 $