Question

3 Graph the function f (x) = x - 4 4. Use the line tool and select two points to graph. * Move Line Undo Redo X Reset у 10 9 8 7 6 5 4 3

Answer 1

The given function is

`f(x)=(3)/(2)x-4`

To graph a linear equation we just need two points. Let's find the intercepts of the line.

Evaluate the function when x = 0.

`f(0)=(3)/(2)(0)-4=-4`

The first point is (0,-4).

Evaluate the function when y = 0.

`\begin{gathered} 0=(3)/(2)x-4 \\ 4=(3)/(2)x \\ x=(4\cdot2)/(3) \\ x=(8)/(3)=2.7 \end{gathered}`

The second point is 8/3 or 2.7.

Then, plot both points and draw a line through them.