Answered

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.

Verified Answer :

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

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