Is (1,0) is an ordered pair of the function f(x)= 1 + x?

1 Answer
Oct 26, 2016

no, #(1,0)# is not an ordered pair of the function #f(x)=1+x#.

Explanation:

Ordered pairs are usually written in the form #(x,y)# by tradition.

so usingthe function,

#f(x)=1+x#

we can rewrite it as,

#y=1+x#

any pair of x and y that satisfy this equation are solutions to the equation.

so subbing in #(1,0)#,

#0=1+(1)#

#0=2#

which is not true so the point does not make the function true.

It might be easier to see graphically,

graph{1+x [-10, 10, -5, 5]}

any combination of x and y on this line make the equation true and as such are an ordered pair of the function.