Answer to Question #92564 in Algebra for Vaibhavi Desai

Question #92564
1.a) Sketch the graphs on the same axis.
(i) y = x^2 - 4
(ii) y = -x + 3

(b) What are the inequalities of the region bounded (enclosed area) by the two graphs.
1
Expert's answer
2019-08-16T03:46:57-0400

a) y=x24y=x^2-4 - red line;

y=x+3y=-x+3 - blue line.



b) x24=x+3x^2-4=-x+3

x2+x7=0x^2+x-7=0

x=1292    or    x=1+292x=\frac{-1-\sqrt{29}}{2}\;\;or\;\;x=\frac{-1+\sqrt{29}}{2}

The region bounded by the two graphs: 1292<x<1+292\frac{-1-\sqrt{29}}{2}<x<\frac{-1+\sqrt{29}}{2}

x24<y<x+3x^2-4<y<-x+3


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