Answer
a) $f(x)=-2x+6$
b) see graph
Work Step by Step
We are given the linear function:
$f(1)=4$
$f(0)=6$
a) Determine the slope of the line using the points $(0,6),(1,4)$:
$m=\dfrac{4-6}{1-0}=-2$
Determine the line's equation using the slope and one of the points:
$y-6=-2(x-0)$
$y=-2x+6$
$f(x)=-2x+6$
b) Graph the function using the two points:
