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

Question

1435 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-22T00:32:54

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

#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]}