Functions in Factored Form In this activity, we will investigate functions represented in factored form with tables and graphs. Use the following Window settings for your calculator: Xmin = Xmax = 4.7, Ymin = –4.7, –20, Ymax = 20. 3x + 9 + 2 = (3x + 9)(–x + 2) f(x) = g(x) = h(x) –x x y x y x y –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 Sketch the graphs of all three functions on the grid and answer these questions. Which functions are linear? Which function appears to be quadratic? Describe the relationship between f(x), g(x), and h(x). For what values of is : = 0? _____ x f(x) x = = 0? _____ g(x) x = = 0? _____ and _____ h(x) x = x =
Functions in Factored Form In this activity, we will investigate functions represented in factored form with tables and graphs. Use the following Window settings for your calculator: Xmin = –4.7, Xmax = 4.7, Ymin = –20, Ymax = 20. f(x) = 3x + 9 x y –4 –3 –2 –1 0 1 2 3 4 g(x) = –x + 2 x y –4 –3 –2 –1 0 1 2 3 4 h(x) = (3x + 9)(–x + 2) x y –4 –3 –2 –1 0 1 2 3 4 Sketch the graphs of all three functions on the grid and answer these questions. Which functions are linear? Which function appears to be quadratic? Describe the relationship between f(x), g(x), and h(x). For what values of x is : f(x) = 0? x = _____ g(x) = 0? x = _____ h(x) = 0? x = _____ and x = _____
alg_u8_i4_a841_func_fac_form.docx