Evaluate p(x) = x3 - 9x at -4 and -2 to determine if the Intermediate Value Theorem guarantees that a zero exists between the two values. c) Does the Intermediate Value Theorem guarantee that a zero exists between -4 and -2? 0 yes 0 no Evaluate f(x) = 7x3 - 9x4 - x at 2 and 4 to determine if the Intermediate Value Theorem guarantees that a zero exists between the two values. a) f(2) = b) f ( 4) = c) Does the Intermediate Value Theorem guarantee that a zero exists between 2 and 4? O yes O noEvaluate f(x) = -x3 + 4x5 - 3x2 + 1 at -1 and -3 to determine if the Intermediate Value Theorem guarantees that a zero exists between the two values. c) Does the Intermediate Value Theorem guarantee that a zero exists between -1 and -3? 0 yes 0 no For the polynomial -2x6 + 2x5 + 4x4, find the following: a) the end behavior of the graph using the leading coefficient test. 0 Rises left and right 0 Falls left and right 0 Rises left and falls right 0 Falls left and rises right b) all x-intercepts. Separate each intercept with a comma. C] c) the behavior of the graph at all x-intercepts. If there is not an x-intercept with the given behavior, state "DNE" in the box next to the behavior. x-intercepts where the graph crosses the x-axis [:] x-intercepts where the graph touches the x-axis and turns [:1 d) the y-intercept. C] For the polynomial -2(x + 3)3(x - 5F, find the following: a) the end behavior of the graph using the leading coefficient test. 0 Rises left and right 0 Rises left and falls right 0 Falls left and right 0 Falls left and rises right b) all x-intercepts. Separate each intercept with a comma. C] c) the behavior of the graph at all x-intercepts. If there is not an x-intercept with the given behavior, state "DNE" in the box next to the behavior. x-intercepts where the graph crosses the x-axis [:] x-intercepts where the graph touches the x-axis and turns [3 d) the y-intercept. C] Use the graph of the polynomial function shown below to identify the zeros of the function and the multiplicity of each zero. The largest possible multiplicty is three. Leave any remaining answer boxes empty. 10+ 8 -6 -5 -# -3 -2 -1 2 4 6 7 15 Zeros Mult.3 1 Consider the algebraic expression 7::7 + 20:1:4 I? 14a: 23 What is the degree of this polynomial? Identify the constant term. Identify the leading coefficient. l:] Identify the leading term. Use the polynomial function below to answer the following questions. 31 = 5(3a: + 5)3(m 4)(m + 3) a) Determine the leading term of polynomail function shown above. b) Use the leading term to identify the and behavior for the graph of the polynomial function. Select the correct choice below. 0U 0H 0H 0H Use the polynomial function below to answer the following questions. f(a:) = 9:1:2+8:c+8 a) Determine the leading term of polynomail function shown above. b) Use the leading term to identify the end behavior for the graph of the polynomial function. Select the correct choice below. 0U 0H CH CH \f1 if x 5 - 2 Sketch a graph of f (a) = x+1 if -2 2 -5 -4 -3 -2 - -1 1 2 3 4
