Graph the exponential functionf(x)=(1)/(2)^(x) .

Question

Graph the exponential function
`f(x)=(1)/(2)^(x)` .

Answer 1

`f(x)=\left((1)/(2)\right)^x\\\\for\ x=-3\to y=\left((1)/(2)\right)^(-3)=2^3=8\to(-3,\ 8)\\\\for\ x=-2\to y=\left((1)/(2)\right)^(-2)=2^2=4\to(-2,\ 4)\\\\for\ x=-1\to y=\left((1)/(2)\right)^(-1)=2^1=2\to(-1,\ 2)\\\\for\ x=0\to y=\left((1)/(2)\right)^0=1\to(0,\ 1)\\\\for\ x=1\to y=\left((1)/(2)\right)^1=(1)/(2)\to\left(1,\ (1)/(2)\right)\\\\for\ x=2\to y=\left((1)/(2)\right)^2=(1)/(4)`