## Algebra and Trigonometry 10th Edition

a) $f(x)=[[x]]$ b) Reflection across the $x$-axis, vertical shift c) See graph d) $g(x)=-f(x)+1$
We are given the function: $g(x)=-[[x]]+1$ a) The parent function is: $f(x)=[[x]]$ b) Reflect $f(x)$ across the $x$-axis to get $a(x)=-[[x]]$. Vertically shift $a(x)$ one unit upward to get $g(x)=-[[x]]+1$. c) Graph the function $g$. d) Use function notation to write $g$ in terms of $f$: $g(x)=-f(x)+1$