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

Oct 26, 2016

no, $\left(1 , 0\right)$ is not an ordered pair of the function $f \left(x\right) = 1 + x$.

#### Explanation:

Ordered pairs are usually written in the form $\left(x , y\right)$ by tradition.

so usingthe function,

$f \left(x\right) = 1 + x$

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 $\left(1 , 0\right)$,

$0 = 1 + \left(1\right)$

$0 = 2$

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.