Polynomial Functions: X and Y Intercepts - Graphs

Graphs Polynomial Functions The end behavior tells you how a graph looks like at each end- whether the graph rises or falls to the left or the right.  X- Point on Y- Point on the Behavior of Number Possible Graph Intercepts the X- Interce X-axis the graph of turning...

Graphs Polynomial Functions The end behavior tells you how a graph looks like at each end- whether the graph rises or falls to the left or the right.  X- Point on Y- Point on the Behavior of Number Possible Graph Intercepts the X- Interce X-axis the graph of turning axis pts Left-Right points -5, (-5,0) -10 (0,-10) Left 2 -2, (-2,0) Fall 1 (1,0) Right Rise  Graphing Polynomial Plot the graph of the polynomial function y = (x – 2)(x – 1)(x + 3) Step 1: Identify the roots/zeros of the polynomial function. 2 ___ x-intercept ___ -3 1 ___ 6 y-intercept __ y = (x – 2)(x – 1)(x + 3); x = 0 (x +3) = 0 Substitute the value of x X=-3 (x – 2) = 0 y = (0 – 2)(0 – 1)(0 + 3) X=2 y = (– 2)(– 1)(3) (x – 1) = 0 Multiply the values X=1 Y= 6  Graphing Polynomial y = (x2:– 2)(x Step – 1)(xthe Arrange xx=3 zeros + 3); x=1.5-4 the table of = on -1 Substitute the value of x values. 3: – 2)(-1 (-4 y = (-1 Step 2)(-4 (3–2)(3–1)(3 – 1)(-1 1)(-4 + 3) + 3)the (1.5–2)(1.5–1)(1.5+ Complete table of values. y = (1)(2)(6) (– 3)(– 6)(– 2)(2) 5)(-1) (-0.5)(0.5)(4.5) Multiply the values Y= 12 -30 1.125 X -4 -3 -1 0 1 1.5 2 3 y -30 0 12 6 0 11.125 0 12  Graphing Polynomial Step 4: Plot the points. X -4 -3 -1 0 1 1.5 2 3 y -30 0 12 6 0 1.12 0 12 5 x-intercept y-intercept Other coordinate  Graphing Polynomial Step 5: Sketch the graph. X -4 -3 -1 0 1 1.5 2 3 y -30 0 12 6 0 1.12 0 12 5 x-intercept y-intercept Other coordinate