How do you sketch the graph #g(x)=(x+1)^5+10# and #f(x)=x^5# using transformations and state the domain and range of g?

1 Answer
Patrick H.
Jun 26, 2018

See below for an explanation!

Explanation:

This is what #f(x)# look like:

graph{x^5 [-10, 10, -5, 5]}

#g(x)# is translated 1 unit to the left and 10 units up:

graph{((x+1)^5)+10 [-20, 20, -2, 18]}

The domain and range of #g(x)# will both be #(-oo,oo)#. The graph will continue in both directions for infinity without anything to block the graph.

Related questions
See all questions in Introduction to Twelve Basic Functions
Impact of this question
1573 views around the world
You can reuse this answer
Creative Commons License