a) y=x2−4y=x^2-4y=x2−4 - red line;
y=−x+3y=-x+3y=−x+3 - blue line.
b) x2−4=−x+3x^2-4=-x+3x2−4=−x+3
x2+x−7=0x^2+x-7=0x2+x−7=0
x=−1−292 or x=−1+292x=\frac{-1-\sqrt{29}}{2}\;\;or\;\;x=\frac{-1+\sqrt{29}}{2}x=2−1−29orx=2−1+29
The region bounded by the two graphs: −1−292<x<−1+292\frac{-1-\sqrt{29}}{2}<x<\frac{-1+\sqrt{29}}{2}2−1−29<x<2−1+29
x2−4<y<−x+3x^2-4<y<-x+3x2−4<y<−x+3
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