What is the domain and range of $y = x^{4} + 1$ $y = x^4 + 1$ ?

Question

3235 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-21T09:43:45

Domain : $R$ $R$

Range : $y \geq 1$ $y >=1$

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

which is $f (x) = 1$ $f(x)=1$

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

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

whether to the left or to the right

What is the domain and range of y=x4+1y = x^4 + 1 ?