Analyze the polynomial function fx)(x1)(x- 5)(x6) using parts (a) through (e) (a

Question

Analyze the polynomial function fx)(x1)(x- 5)(x6) using parts (a) through (e) (a) Determine the end behavior of the graph of the function The graph of f behaves like yfor large values of (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is (Simplify your answer. Type an integer or a fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept. The zero(s) of f is/are | |. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The smallest zero is a zero of mutiplicityso the graph of the x-axis at x The mile zero is a zero of multplicity so the gaph othe V the x-axis at xThe middle zero is a zero of multiplicity so the graph of f x-axis atxThe largest zero is a zero of multiplicityso the graph of f thex-axis atx- (d) Determine the maximum number of turning points on the graph of the function Type a whole number.) (e) Use the above information to draw a complete graph of the function. Choose the correct graph below. ??. ? ?. 14 14 14 14 14 14 14 14

Explanation / Answer

a) the graph behaves like y = x^3

for larger values of x

b) x intercepts are -1 , 5 , -6

y intercept is -30

c) zeros of the function are

-1 , 5 , -6 each multipicity 1

d) maximum number of turning points are 2

e) correct graph is

option D

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---