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how do i graph g(x)=1/4x-3

Sagot :

The given function is:

[tex]g(x)=\frac{1}{4}x-3[/tex]

To graph the function we can make a table of values, by replacing different x-values into the function and finding g(x) as follows:

[tex]\begin{gathered} x=0 \\ g(0)=\frac{1}{4}*0-3=-3 \\ x=-1 \\ g(-1)=\frac{1}{4}*(-1)-3=-\frac{1}{4}-3=\frac{-1-12}{4}=-\frac{13}{4} \\ x=1 \\ g(1)=\frac{1}{4}*1-3=\frac{1}{4}-3=\frac{1-12}{4}=-\frac{11}{4} \end{gathered}[/tex]

We can apply the same procedure and we're going to obtain the following table of values:

These are the coordinates of the points we have to sketch in the graph, and this looks like this:

View image LawsenW516005
View image LawsenW516005