Question

Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3

Answer 1

Ans. Detailed answer is given in the pictures below-

Ars. Given, sa 16 fa) x 23 - - ib Now, For x<3 5 7 For x 23 8 al a-y-I = 0 Also, Comparing ea. Standad equation of line in the bom- y=mx tc y (1)x - Slope = 1 Also, At x = 3 J = (3)- (3,2) At x-4 y = (4)-1 3 (4,3) At x=5 y = (51-1 = 4 (5,4) and so on Thodor, Blope is 1. Fol x 23, the equation of the line is x-y-1=0 and Abter plotting the points (x,y), the graph will be
Note that the line 'y = 7' will be open at x = 3, while the other line will be closed because at x = 3, y or f(x) is given as x - 1.

(Please like the answer if it is useful. Thank you)