Show work 9. Given the polynomial t(x) = (x-2)2(x + 8)4(x + 4)3 a. Find the...
For the given function complete the following steps. f(x) = -2(x - 3)²(x + 1)^ 1. Find the leading term of f and identify the leading coefficien and degree of the function. 2. Analyze the end behavior of the graph. 3. Find all zeros and their multiplicities. Identify where the graph crosses or touches x-axis. 4. Find the maximum number of turning points of the graph. 5. Sketch the graph of the function using information obtained in steps 1-4.
Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero fix)=x2-8x? + + 16x Determine the zero(s). If they exist. The zero(s) is/are D (Type integers or decimals. Use a comma to separate answers as needed) Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis...
Analyze the polynomial function fix) = x(x 3)(x + 7) using parts (a) through (e). la Determine the end behavior of the graph of the function The graph off behaves like y- for large values of Ix/ (b) Find the x-and intercepts of the graph of the function Thexintercepts) isare (Simply your answer. Type an integer or a tractionUse a comma to separate answers as needed. Type oath answer only once.) The interceptis (Simplify your answer. Type an integer or...
Review for Sections 3.2 and 3.3: 1. [3 pts] Use synthetic division to divide x5 – x4 – 3x3 – 4x2 + 2x – 51 by x – 3. (Show algebraic work.) 2. [4 pts] Solve the equation x3 – 11x2 + 38x – 40 = 0 given that 4 is a zero of f (x) = x3 – 11x2 + 38x – 40. (Show algebraic work.) 3. [5 pts] Answer parts a. – c. below for the given polynomial...
Analyze the polynomial function tox)(x+57(4 - X) using parts (a) through a (a) Determine the end behavior of the graph of the function The graph off behaves ikey-for large values of lxl. (b) Find the x and y-intercepts of the graph of the function The x-intercept) 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 interceptis (Simplify your answer. Type an integer or a fraction)...
17) For the following polynomials : ) = (x - 1)*(z – 2) a) List each real zeros AND its multiplicity AND determine whether the graph crosses or touches the x-axis at each x-intercept b) Determine the maximum number of turning points on the graph c) Determine the end behavior
A polynomial function f(x) has a zero of 3 with multiplicity 2. (1)since the zero is 3, the graph crosses the y-axis at 3? (2) since the zero is 3, the graph goes up to the right? (3) since the multiplicity is 2, the graph crosses the x-axis? (4) since the multiplicity is 2, the graph touches but does not cross the x-axis? Please help me with this!!!
Find the x-intercepts of the polynomial function State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = ** -81x? O A. O, crosses the x-axis: 9. crosses the x-axis: -9, crosses the x-axis OB. O, touches the x-axis and turns around; 9, crosses the x-axis; -9, crosses the x-axis OC. 0, touches the x-axis and turns around 81, touches the x-axis and turns around OD. O, touches the x-axis and turns...
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero.f(x)= -2(x-9)(x+3)2
At the horizontal intercept x = -3, coming from the (x+3) factor of the polynomial, the graph passes directly through the horizontal intercept. The factor (x+3) is linear (has a power of 1), so the behavior near the intercept is like that of a line - it passes directly through the intercept. We call this a single zero, since the zero corresponds to a single factor of the function. At the horizontal intercept x = 2, coming from the (x...