Question

Graphing Functions Sketch a graph of the function by first making a table of values.

$f\left(x\right)=-x+3-3\le x\le 3$

Short answer

The graph of a function $f$is the set of all points in the plane of the form $\left(x,f\left(x\right)\right)$.

Step-by-step solution

Step 1. Use definition of a graph of a function.

The graph of a function $f$is the set of all points in the plane of the form $\left(x,f\left(x\right)\right)$.

Step 2. Make table of values.

We are given the following function

$f\left(x\right)=-x+3-3\le x\le 3$

To graph this function we choose random x-values and plug then in the function to get the y-values as shown:

Step 3. Using table graph the function.

Next we plot these points and join the lines to get the graph of the function given as shown: