Exercise - 1.4

Exercise - . . For the curve y = x given in Figure . , draw (i) y = − x (ii) y = x + (iii) y = x − (iv) y = ( x + ) with the same scale.

– – – – – – y = x Figure . . For the curve y = x ( ) given in Figure . , draw (i) y = − x ( ) (ii) y = x ( ) + (iii) y = x ( ) − (iv) y = ( x + ) ( ) – – – – – – y = x / Figure .

. Graph the functions f ( x ) = x and g ( x ) = √ x on the same coordinate plane. Find f ◦ g and graph it on the plane as well. Explain your results.

. Write the steps to obtain the graph of the function y = ( x − ) + from the graph y = x . . From the curve y = sin x , graph the functions (i) y = sin( − x ) (ii) y = − sin( − x ) (iii) y = sin π + x which is cos x (iv) y = sin π − x which is also cos x (refer trigonometry) .

From the curve y = x , draw (i) y = − x (ii) y = x (iii) y = x + (iv) y = x + (v) x + y + = . . From the curve y = | x | , draw (i) y = | x − | + (ii) y = | x + | − (iii) y = | x + | − . .

From the curve y = sin x , draw y = sin | x | (Hint: sin( − x ) = − sin x .) Activities