Question

Sketch the graph of the function and state its domain.

f (x) = ln (x - 1)

Answer 1

Step 1:

The function is .

Consider .

Make the table of values to find ordered pairs that satisfy the equation.

Choose values for and find the corresponding values for .

Step 2:

Graph:

1.Draw a coordinate plane.

2.Plot the coordinate points.

3.Then sketch the graph, connecting the points with a smooth curve.

Step 3:

The function is .

Use the natural logarithmic function : .

The function is defined only if , therefore the domain of the function is .

The domain of the function is .

Solution :

The domain of the function is .