What is the domain and range of #y = x^4 + 1 #?

1 Answer
Abdelhalim Mira
Apr 21, 2017

Domain : #R#

Range : #y >=1#

Explanation:

graph the function graph{x^4+1 [-5, 5, -2.5, 2.498]}
you can see that the smallest value occurs at #x=0#

which is #f(x)=1#

when plotting x with #x<1# or #x>1# you get #f(x)>1# because this

is an even function so the end behaviour is always #f(x)# increasing

whether to the left or to the right

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