Question

For this problem, we will consider the polynomial function f(t) = 24 +23-222 over the interval -3 <I<3 (a) The degree of f(x) is Number (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts o like (i.e. both ends up) Olike -22 (i.e. both ends down) O like 23 (.e left end down, right end up) O like - 23(e left end up, right end down) O None of the above (c) Following the examples from the book (and video), use a synthetic division chart to generate a list of points to plot Type these points as a comma-separated list where each point is entered using the form (z,y) 2 r2 on a piece of scrap paper, then scan and upload your graph (o) Sketch a graph of f(x) = 24

Answer 1

160 och to 3 - 2x² The a) degree of foc is 4 b As degree of foo is even and leading Coefficient is positive. graph of foc) acts like x² Cie both sid ends up) flow = x + x² – 2x² = x²(x²+x-2) (oc² + 2X-X-2) = x²(x+2)(x-D e SC Zeros are X=0 2 - x intercepts :(0,0) (-2,0),(1,0)

f) As the degree of polynomial (n) = 4 number of surning points (n-1) = 3 turning points points the graph have