12. Consider the polynomial function f(x) = xº - xé - 10x - 8 a) Solve...
3.1.115 Analyze the polynomial function f(x) = xº + x2 - 2x. Answer parts (a) through (@). (Hint: First factor the polynomial.] (a) Determine the end behavior of the graph of the function. The graph off behaves like y=for large values of
For the polynomial function f(x)=x^4+8x^3+16x2 answer the following: A. Using the leading coefficient test , determine the graphs end behaviour. B. Find the X-intercepts and at which x-intercept does the graph cross the x-axis? C. At which x intercepts does the graph touch the x axis and turn around? D. What is the y intercept? E Determine whether the graph has y axis symmetry, origin symmetry or neithr. F.If necessary, find a few additional points and graph the function. Use...
For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts, and (C) the y-intercept. f(x) = (5x + 3)*(x-1,5 (A) The degree of the polynomial is
In Problems 1-8, determine the intercepts of the given polynomial function, and then use any additional information that can be obtained from Theorems 2A and 2B to help you sketch a rough graph of the given polynomial function. 4. f(x) = -xº+x²+2x–7.
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
Consider the polynomial f(x) = x+ + 4x + 4x? a. What is the degree of this polynomial?_ b. What is the y intercept?_ c. What are the roots (zeros) of this polynomial? d. What is the end behavior of this polynomial ? e. Sketch this polynomial?
Consider the function f(x) = 23 +22 - 22 Answer all parts: (a) - (f). (a) What is the degree of f(c)? The degree of f(x) is (b) Which of the following choices describe the end behavior of f(c)? The graph of f(x) acts O like 22 (i.e. both ends up) O like -2- (.e. both ends down) O like x3 (ie, left end down, right end up) O like 1-3 (.e. left end up, right end down) O None...
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
Sketch the graph of each function. Lebel the vertex, the x-intercepts, the y-intercept, the axis of symmetry, and the range. Round all answers correctly to two decimal places. Calculator required. 8) y = 2r? + 10x + 8 Ay 9) y - 2x + 6x +2 10) y --2x + 10x - 11
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...