How do you determine whether the given points (0, 0), (1, 1), (1, -1) are on the graph of the equation #y = x^3 - 2(sqrt{x})#?

1 Answer
mizoo
Jul 2, 2018

Check the points in the eqaution and see if the left site is eqaul to the right side?

Explanation:

#y = x^3 - 2sqrt x, and (0, 0), (1, 1), (1, -1)#:

#(0, 0):#
Is #0 = 0^3 - 2sqrt 0# ?
#0 = 0 #

#(1, 1):#
#y = x^3 - 2sqrt x#
Is #1 = 1 - 2sqrt 1# ?
#1 = -1# ? No.

#(1, -1):#
Is #-1 = 1^3 - 2sqrt 1# ?
#-1 = -1#

#(0, 0) and (1, -1)# lie on the graph.

Here is the graph: https://www.desmos.com/calculator/8chclct0c1

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