# How do you find the axis of symmetry, graph and find the maximum or minimum value of the function  y=x^2+1?

Apr 22, 2018

These are the points used for the graphing of this function :-

#### Explanation:

1) The domain of this function is $x$ ϵ $R$.

2) The equation having all the powers of $' x '$ even is symmetric about Y-axis and vice- versa.

3) This is an even function because it is symmetric about Y-axis.

4) This function will attain the least value at $x = 0$ (local minima) and $y \left(0\right) = 1$.

5) The range of this function is $y \ge 1$.

The graph of the function is given below :-

graph{(x^2)+1 [-7.023, 7.024, -3.51, 3.513]}