Given:
The function is
[tex]f(x)=x[/tex]
To find:
The tangent line to the graph of f(x)=x at point (0,0).
Solution:
We have,
[tex]f(x)=x[/tex]
It is a linear function because the highest power of the variable is 1.
We know that the tangent line to a linear function at any point is the line itself.
Derivative of given function is
[tex]f'(x)=1[/tex]
So, slope of the tangent line is 1. It is given table the tangent line passes through the point (0,0). The equation of tangent line is
[tex]y-0=1(x-0)[/tex]
[tex]y=x[/tex]
Therefore, the tangent line to the graph of f(x)=x at point (0,0) is y=x.
