Question

Consider the polynomial function P, given by P(x) =−1/2x^3 - 1/2x^2 + 15x Sketch a graph...

Consider the polynomial function P, given by

P(x) =−1/2x^3 - 1/2x^2 + 15x

Sketch a graph of y = P(x) by: determining the zeros of P, identifying the y-intercept of y = P(x), using test points to examine the sign of y = P(x) to either side of each zero and deducing the end behaviour of the polynomial.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Question 1a Consider the polynomial function P(x) = x3+x2−20x. Sketch a graph of y = P(x)...
Question 1a Consider the polynomial function P(x) = x3+x2−20x. Sketch a graph of y = P(x) by: determining the zeros of P(x), identifying the y-intercept of y = P(x), using test points to examine the sign of P(x) to either side of each zero and deducing the end behaviour of the polynomial. b Consider the quadratic function f(x) = 2x2 + 8x−1. (a) Express f(x) in standard form. (b) Determine the vertex of f(x). (c) Determine the x- and y-intercepts...
A polynomial function P and its graph are given. P(x) = 2x4 − 8x3 + 4x2...
A polynomial function P and its graph are given. P(x) = 2x4 − 8x3 + 4x2 + 8x − 6 (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) x =      (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x =  
Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros...
Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros of the polynomial, plotting sufficient solution points, and drawing a continuous curve through the points. g(x) = 1/10(x + 1)2(x − 4)3 (a) Apply the Leading Coefficient Test. The graph of the function rises to the left and rises to the right. The graph of the function rises to the left and falls to the right.     The graph of the function falls to the...
Given the polynomial function f(x)=(x-a)(x-b)^2, and a<0<b, find the following: A). Sketch the graph B). find...
Given the polynomial function f(x)=(x-a)(x-b)^2, and a<0<b, find the following: A). Sketch the graph B). find the x and the y intercepts C). find the solution to f(x)<0 D). find the solution to f(x) is greater than or equal to 0
3. Write the zeros of the polynomial below and indicate the multiplicity of each zero. What...
3. Write the zeros of the polynomial below and indicate the multiplicity of each zero. What is the degree of the polynomial? Describe the end behaviors of the graph. Make a sketch of this function. Your sketch should be neat, showing your zeros and where the graph touches or cross the x-axis and the end behaviors. Please show your work!! f (x) = (x- 5)2 (x+ 2)2 (x- 1) Degree: ________________ Zeros/Multiplicity: __________________ End Behaviors: LH___________________ RH___________________
write the polynomial equation f(x) in factored form with leading coefficient -2, and zeros -1(double root),...
write the polynomial equation f(x) in factored form with leading coefficient -2, and zeros -1(double root), 1 (single root), and 3 (single root). A) write f(x) in factored form B) What is its degree? C) what is its y-intercept D) sketch the graph showing the zeros and y-intercept
given the polynomial function f(x)=x^2(x-3)(x+1) find x and y intercepts of f(x) and determine whether the...
given the polynomial function f(x)=x^2(x-3)(x+1) find x and y intercepts of f(x) and determine whether the graph of f crosses or touches the x-axis at each x-intercept.
Given that a polynomial function g has g(1)=-96, and has x-intercepts at x = -3 (multiplicity...
Given that a polynomial function g has g(1)=-96, and has x-intercepts at x = -3 (multiplicity 3), x=-1 (m.1), and 2 (m. 2), sketch the graph of the function, then write a equation for g(x) (can leave function in factored form) and describe its end behavior.
f(x)=x^3+8x^2+14x+4 (given that -2 is a zero) find all zeros of the polynomial function
f(x)=x^3+8x^2+14x+4 (given that -2 is a zero) find all zeros of the polynomial function
Graph the quadratic function f x( ) = −2x 2 + 6x − 3. Give the...
Graph the quadratic function f x( ) = −2x 2 + 6x − 3. Give the vertex, axis, x-intercepts, y-intercept, domain, range, and intervals of the domain for which the function is increasing or decreasing.