Question

F(x)={1/2x-2, if x ≥0}

{3/4x+3, if x<0}
Graph this equation?
I don't understand how to do this.

Answer 1

`f(x)= \left\{\begin{array}{ccc}(1)/(2)x-2&if\ x\geq0\\(3)/(4)x+3&if\ x < 0\end{array}\right\\------------------\\x < 0\to f(x)=(3)/(4)x+3\\\\for\ x=-4\to y=(3)/(4)(-4)+3=-3+3=0\to(-4;\ 0)\\for\ x=0\to y=(3)/(4)(0)+3=3\to(0;\ 3)\\------------------------\\x\geq0\to f(x)=(1)/(2)x-2\\\\for\ x=0\to y=(1)/(2)(0)-2=-2\to(0;-2)\\for\ x=4\to y=(1)/(2)(4)-2=2-2=0\to(4;\ 0)\\------------------------------\\Look\ at\ the\ picture.`