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≥0⇔x≥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… |
4 | 4−1 | 1.732… |
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.