Question

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

Answer 1

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.