## Calculus 8th Edition

$f(x)=-x+3\ (0 \leq x \leq 3)$ $f(x)=2x-6\ (3 \lt x \leq 5)$
From 0 to 3 on the x-axis, the line has a slope of -1 and a y-intercept of 3, so we have: $y=-x+3$ From 3 to 5 on the x-axis, the line has a slope of 2 and a y-intercept of -6 (if we extend the line down), so we have: $y=2x-6$ Thus the function f(x) consists of: $f(x)=-x+3\ (0 \leq x \leq 3)$ $f(x)=2x-6\ (3 \lt x \leq 5)$