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Step-by-step Answer
PAGE: 80SET: ExercisesPROBLEM: 81
Please look in your text book for this problem Statement

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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