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

Apr 21, 2017

Domain : $R$

Range : $y \ge 1$

#### 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 $f \left(x\right) = 1$

when plotting x with $x < 1$ or $x > 1$ you get $f \left(x\right) > 1$ because this

is an even function so the end behaviour is always $f \left(x\right)$ increasing

whether to the left or to the right