Question

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.

Homework Answers

Answer #1

Please do like.

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
Problem 3.2.60 Using f(x) = -x^2(x + 2)(x - 2) determine the following: (a) Use the...
Problem 3.2.60 Using f(x) = -x^2(x + 2)(x - 2) determine the following: (a) Use the Leading Coefficient Test to determine the graphs end behavior. (b) Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. (c) Find the y-intercept. (d) Determine whether the graph has y-axis symmetry, origin symmetry, or neither. (e) If necessary, find a few additional point and graph the function. Use the maximum number of turning...
Using f(x) = x^4 - x^2 determine the following: (a) Use the Leading Coeefficient Test to...
Using f(x) = x^4 - x^2 determine the following: (a) Use the Leading Coeefficient Test to determine the graphs end behavior. (b) Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. (c) Find the y-intercept. (d) Determine whether the graph has y-axis symmetry, origin symmetry, or neither. (e) If necesary, find a few additional point and graph the function. Use the maximum number of turning points to check whether...
Given the polynomial function f (x) = (x + 3)(x + 2)(x −1) (a) Write all...
Given the polynomial function f (x) = (x + 3)(x + 2)(x −1) (a) Write all intercepts as ordered pairs (b) Find the degree of f to determine end behavior (c) Graph the function. Label all intercepts
Lef f(x) = -(x+4)(x-1)^3(x-3)^2 = -x^6 + 5x^5 + 6x^4 - 74x^3 + 151x^2 - 123x...
Lef f(x) = -(x+4)(x-1)^3(x-3)^2 = -x^6 + 5x^5 + 6x^4 - 74x^3 + 151x^2 - 123x + 36 1.)Determine the end behavior 2.) Find the real zeros of f(x) & state the multiplicity of each zero. Determine the manner in which the graph of f(x) crosses or touches the x-axis at each zero. 3.) Find the x-intercepts and the y-intercept 4.) Draw the graph of f(x) Please show work for answers- thanks :)
For the function f(x) =x(x−4)^3 • Find all x-intercepts and find the y-intercept • Find all...
For the function f(x) =x(x−4)^3 • Find all x-intercepts and find the y-intercept • Find all critical numbers, • Determine where the function is increasing and where it is decreasing, • Find and classify the relative extrema, • Determine where the function is concave up and where it is concave down, • Find any inflection points, and Use this information to sketch the graph of the function. • Use this information to sketch the graph of the function.
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
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.
For the function f(x) = ? 3−1 ? 2−9 , find any slant asymptotes and sketch...
For the function f(x) = ? 3−1 ? 2−9 , find any slant asymptotes and sketch the graph by finding any vertical asymptotes, horizontal asymptotes, x intercepts, y intercept.
1. You are given the function f(x) = x/(1−x) a) Find the x and y- intercepts....
1. You are given the function f(x) = x/(1−x) a) Find the x and y- intercepts. b) Find the horizontal asymptote(s). c) Find the vertical asymptote(s) and do a limit analysis of the behavior of f on either side of each vertical asymptote. d) Find the critical number(s) of f. e) Find the interval(s) of increase and decrease of f. f) Find the relative maximum and minimum value(s) of f. g) Find the hypercritical number(s) of f. h) Find the...
For the equation ?f(x)equals=x squared minus 2 x minus 15x2?2x?15?, ?a) determine whether the graph of...
For the equation ?f(x)equals=x squared minus 2 x minus 15x2?2x?15?, ?a) determine whether the graph of the given quadratic function opens up or? down, ?b) find the? vertex, ?c) find the axis of? symmetry, ?d) find the? x- and? y-intercepts, and ?e) sketch the graph of the function.