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The function is .
(a).
Slope of the secant line in terms of and is .
Find .
Substitute and in .
.
(b).
Find when .
Substitute the above values in .
.
Find when .
.
Find when .
.
As approaches to zero approaches .
(c).
When then the slope of the secant line is .
.
The secant line containing the point .
Point - slope form of a line equation : .
Substitute and in point - slope form.
Secant line is .
For every linear function secant line is itself.
If is a linear function, every secant line coincides with the graph of .
Graph :
Graph of the function :
(a). .
(b). , when ; , when ; when .
As approaches to zero approaches .
(c). Secant line is .
(d). Graph of the function is
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