How do you sketch the graph #g(x)=-x^5-3# and #f(x)=x^5# using transformations and state the domain and range of g? Precalculus Functions Defined and Notation Introduction to Twelve Basic Functions 1 Answer VinÃcius Ferraz May 25, 2017 #g(x) = -f(x) - 3# Domain and range = #RR# Explanation: If you know x^5 is like x^3 but is not like x^1 because it's not a straight line, then #f(x) = x^5# Domain and range = #RR# #(x,y) mapsto (x,-y)# Reflection on 0y axis. #(x, -y) mapsto (x, -y - 3)# Vertical translaction #y := y - 3# Answer link Related questions What are the twelve basic functions? What is the greatest integer function? What is the absolute value function? What is the graph of the greatest integer function? What is the graph of the absolute value function? What is the inverse function? What is the graph of the inverse function? Which of the twelve basic functions are bounded above? Which of the twelve basic functions are their own inverses? How do you use transformations of #f(x)=x^3# to graph the function #h(x)= 1/5 (x+1)^3+2#? See all questions in Introduction to Twelve Basic Functions Impact of this question 1587 views around the world You can reuse this answer Creative Commons License