Question

Graph the exponential function. y = 4^x

Answer 1

`y=4^x\\\\for\ x=-1\to y=4^(-1)=(1)/(4)=0.25\to(-1;\ 0.25)\\\\for\ x=-(1)/(2)\to y=4^{-(1)/(2)}=(1)/(4^(1)/(2))=(1)/(\sqrt4)=(1)/(2)\to\left(-(1)/(2);\ (1)/(2)\right)\\\\for\ x=0\to y=4^0=1\to(0;\ 1)\\\\for\ x=(1)/(2)\to y=4^(1)/(2)=\sqrt4=2\to\left((1)/(2);\ 2\right)\\\\for\ x=1\to y=4^1=4\to(1;\ 4)\\\\for\ x=2\to y=4^2=16\to (2;\ 16)`

`\text{used:}\\\\a^(-n)=(1)/(a^n)\\\\a^(1)/(2)=√(a)`