Question

Graph f and g on the same set of coordinate axes. (Include two full periods.)

f (x) = - 2 sin x

g (x) = 4 sin x

Answer 1

Step 1:

The functions are and .

The function is .

Compare the function with .

and .

Amplitude : .

Period : .

Construct the table of values in the interval :

 

Comments

Contd...

Step 2:

The function .

Compare the function with .

and .

Amplitude : .

Period : .

Construct the table of values in the interval :

 

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Contd....

Step 3:

Graph the functions and on the same plane :

(1) Draw the coordinate plane.

(2) plot the points.

(3) connect the points to a smooth curve.

Solution :

Graph of the functions and :