John is working the function s(x). He found that s(2)=-6

Matthew is working with the function t(x). He found that t(2)=-6
The point (2,-6) lies on the graph of s(x) and t(x).
True or False?

looks like it to me

Can you explain to me why? Thanks!

If a point (x,y) is on a graph of a function f, it means that y=f(x).

That is true for both s and t in this case.

To determine whether the point (2, -6) lies on the graphs of both s(x) and t(x), we need to check whether s(2) = -6 and t(2) = -6 are satisfied.

Given that s(2) = -6, we can say that the function s(x) passes through the point (2, -6). This means that the point (2, -6) lies on the graph of s(x).

Similarly, given that t(2) = -6, we can say that the function t(x) also passes through the point (2, -6). Therefore, the point (2, -6) lies on the graph of t(x) as well.

Since the point (2, -6) satisfies both s(2) = -6 and t(2) = -6, we can conclude that the statement is true. The point (2, -6) lies on the graphs of both s(x) and t(x).