Draw the graph of \(x = 3\). Mark some points on a grid which have an \(x\)-coordinate of 3, such as (3, 0), (3, 1), (3, -2). The points lie on the vertical line \(x = 3\). If you recognise that ...

The equation is a rule connecting the \(x ... 3. When the equation of a straight line is in the form \(y = mx + c\), \(m\) and \(c\) are numbers which give useful information about the graph ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...