Question

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

Answer 1

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(0) = 1`.

`5)` The range of this function is `y>=1`.

The graph of the function is given below :-

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