We have the next function
![f(x)=\sqrt[]{x}-3](https://img.qammunity.org/2023/formulas/mathematics/college/sk83r1uq8ob4ijpfvx5p7q1qwpxojp24ni.png)
And we must graph it. We need to plot four points on the graph, the leftmost point and three other additional point
Since we have a square root of x, x just can take values equal to 0 o higher. Therefore, the leftmost point would be when x = 0.
![f(0)=\sqrt[]{0}-3=0-3=-3](https://img.qammunity.org/2023/formulas/mathematics/college/j8ja5ae3v59x5znbjzuza5iwxk4vcim4d1.png)
And we need to plot three other additional points. We can take values for x higher than 0
- f(4)
![f(4)=\sqrt[]{4}-3=2-3=-1](https://img.qammunity.org/2023/formulas/mathematics/college/wg7k8f20j99rhvknr15kgelbo5l9ud5sk8.png)
- f(9)
![f(9)=\sqrt[]{9}-3=3-3=0](https://img.qammunity.org/2023/formulas/mathematics/college/hlodjq4lo2qhpk58kjodlcd1inanvgq73o.png)
- f(12)
![f(12)=\sqrt[]{12}-3=3.464-3=0.4641016151378](https://img.qammunity.org/2023/formulas/mathematics/college/54dptjywi075pv3ohlp49jxxs0fe9wcedh.png)
Finally, graphing the function using the points