Question

79 Consider the function f(1) = -2(x + 1)3 Answer all parts: (a) - (f). (a) What is the degree of f(x)? The degree of f(s) is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts Olike 72 (ie both ends up) o like - 22 (ie both ends down) O like x3 (ie, lett end down, right end up) Olike - (ie, left end up right end down) None of the above (c) State the -intercepts of f(x) and whether the graph crosses or touches the z-axis at that r-intercept. Instructions: Type as a comma-separated list in the form [intercept, T or C) where T = touches, C = crosses. F example. (1,1],[4.01, 1-2, T1 means this graph has 2-intercepts at * = 1,2 = 4, and x = -2 and the grap crosses at z = 4 and touches at the other two intercepts

Answer 1

Solution. Given that FX= -» (x+13. 4 Degree of fex) is (③ which of the following choices describe the end behaviour of Fex? like -nt (lie. left and down, right and down, Hence ® None of the above ② option is correct © x-intercept f(x=0 -n(n+1)3=0 (x+1) ²0 [x = -1,-1,-1 x=0 x-intercepts are at x=0, x=-1 for y-intereept Xco flo)= -0 (0+1)3 y-intercept at yao frono A fix) fix=- n(n+1)? Nambes af turning Point -