fx x 4 if x 0 3 if x SolutionThe correct answer is C Let

Solution

The correct answer is C. Let f (x) = y. The graph of y = 3 when x 0 is a straight line staring from y -axis [ point ( 0, 3) ] and will be entirely in the 2nd quadrant where x 0 and y is positive ( y = 3). The graph of y = x - 4 when x > 0 is in the 1st and the 4th quadrants where x > 0. When x < 4 , y is negative so till the extent of x < 4, the graph is in the 4th quadrant where y is negative. When x = 4, y = 0 Thus, the graph of the line y = x - 4 crosses the X - axis at the point ( 4, 0). The graph of y = x -4 can not touch the Y -axis as x > 0 . When x > 4, y is positive and this portion of graph is in the 1st quadrant.