page Polynomial function graphs Objective: Sketch graphs of polynomial functions that show the correct end behavior and intercepts. Investigation Directions: Sketch each graph without your using your calculator (if possible), and circle either (A) or (B). Look for a pattern in the answers. a. Ax) = (x - 2)(x – 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. b. fx) = (x – 2)(x-4)2 Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. c. Ax) = (x - 2)(x - 4)3 Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. d. fx) = (x- 2)(x - 4)* Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. e. Ax)= (x- 2)(x - 4)* Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. f. Ax) = (x- 2) (x - 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. g. Ax) = (x- 2)'(x- 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. h. What pattern do you notice in your choices of (A) vs. (B)?