Mathematics and Mathematical Literacy - Thutong

Mathematics(NSC) /Grade 10/P1 4 Exemplar5.2= and = ; x > 0 are represented in the diagramxbelow. The line y = x is also shown in the diagramThe graphs of f ( x) a g( x)x 2yf(x)y = xA(2;4)C(0;0)BDg(x)x5.2.1 Determine the value of a in the equation ( )xf x = a . (2)5.2.2 Determine the coordinates of B, the point of intersection of g(x) andthe line y = x (2)5.2.3 Determine the coordinates of C, the point of intersection of f(x) and they-axis. (2)5.2.4 Determine the coordinates of D, the reflection of the point A in they = x line. (2)5.2.5 What will the coordinates of A become if the graph of f(x) is moved 2units down. (2)5.2.6 What is the range of f(x)? (1)[23]Copyright reserved