Question

Which point is on the graph of the function

Answer 1

(1, 1)

Explanation:

`(x,\ y)\\\\\text{Put thecoordinates of the points to the equation of}\ f(x)\ \text{and check the equality}:\\f(x)=(1)/(2)(2)^x\\\\(0,\ 1)\to x=0,\ y=1\\L=1\\R=(1)/(2)(2)^0=(1)/(2)(1)=(1)/(2)\\\\L\\eq R\\\\(0,\ 2)\to x=0,\ y=2\\L=2\\R=(1)/(2)\\\\L\\eq R\\\\\left(1;\ (1)/(2)\right)\to x=1,\ y=(1)/(2)\\L=(1)/(2)\\R=(1)/(2)(2)^1=(1)/(2)(2)=1\\\\L\\eq R\\\\(1,\ 1)\to x=1,\ y=1\\L=1\\R=1\\\\L=R`