7. Consider the function = , 0. f(x) x3+ x ≠ (a) Calculate f(2). (2) (b) Sketch the graph of the function = for 5 and 200. y f(x) x y –5≤ ≤ –200 ≤ ≤ (4) (c) Find f′(x). (3) (d) Find f′(2). (2) (e) Write down the coordinates of the local maximum point on the graph of f. (2) (f) Find the range of f. (3) 8. A quadratic function, is represented by the mapping diagram below. f(x)= ax2+ bx,
7. Consider the function f(x) = x3+ , x ≠ 0. (a) Calculate f(2). (2) (b) Sketch the graph of the function y = f(x) for –5≤ x ≤ 5 and –200 ≤ y ≤ 200. (4) (c) Find f′(x). (3) (d) Find f′(2). (2) (e) Write down the coordinates of the local maximum point on the graph of f. (2) (f) Find the range of f. (3) 8. A quadratic function, f(x)= ax2+ bx, is represented by the mapping diagram below.
quadratics_and_exponentials_ws.docx