Question

Consider the function f(t) = 23 +22-22 Answer all parts: (a) ..(). (a) What is the degree of f(x)? The degree of f() is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts O like 22 (ie, both ends up) Olike -22 (1.e. both ends down) Olike 23 (i e left end down, right end up) O like-3(e. left end up, right end down) None of the above (C) State the z-intercepts of f(x) and whether the graph crosses or touches the z-axis at that c-intercept Instructions: Type as a comma-separated list in the form (intercept, T or C] where T = touches, C = crosses. For example: [1,1],[4.c), 1-2,T) means this graph has x-intercepts at 1.04 and = -2 and the graph crosses at = 4 and touches at the other two intercepts (d) The y--interceptis y = (e) Sketch a graph of f(x) 3 + x2 - 2 x (on a piece of scrap paper) and then choose the correct graph below

Answer 1

solo f(K) = x3+x²-24 a) degree of f(n) is 3 (Highest power of x) b) End behaviour i- leading coefficient the with odd degree so Falls to the left and rises to the right Avel option c. x-intercepts; at yzo x3+x²_2x zo x(x²+2-2) 20 x (?+2x-x-2)20 x(4+2) (1-1)0 x-intercepts ave! *=- 82-9, 0,1 K-intercepts: (0,0),(2,0),(-2,0) at all there point curve crosses x-anis d) y-intercept: at noo y=0 y-intercept is (oo)