How do you evaluate the function with the given values of x: color(white)("d")f(x)=(1/2)[x+1] ;color(white)("ddd") x=0; x=-1x:df(x)=(12)[x+1];dddx=0;x=1?

1 Answer
Jun 22, 2018

f(0)->y=1/2f(0)y=12
f(-1)->y=0f(1)y=0

Explanation:

Suppose x=0x=0 then wherever there is an xx write 0

f(x)=1/2(x+1) color(white)("ddd")-> color(white)("ddd")f(0)=1/2(0+1)=1/2f(x)=12(x+1)ddddddf(0)=12(0+1)=12

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Suppose x=-1x=1 then wherever there is an xx write -1

f(x)=1/2(x+1) color(white)("ddd")-> color(white)("ddd")f(0)=1/2[color(white)(2/2)(-1)+1color(white)("d")]=0f(x)=12(x+1)ddddddf(0)=12[22(1)+1d]=0