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.

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