Question

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 points to check whether it is drawn correctly.

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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^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.
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 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.
Answer all the following 1a. Find any intercepts. (Order your answers from smallest to largest x,...
Answer all the following 1a. Find any intercepts. (Order your answers from smallest to largest x, then from smallest to largest y.) y = x2 − 9x + 18 y-intercept (x, y) =( , ) x-intercepts (x, y)= ( , ) (x,y)= ( , ) 1b.   Test for symmetry with respect to each axis and to the origin. (Select all that apply.) y = x2 + 5x The equation is symmetric with respect to the x-axis. The equation is symmetric...
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth)...
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth) c) Symmetry (Show testing for symmetry) d) asymptotes e) Intervals of increase/decrease (approximate the critical numbers to the nearest thousandth. Be sure to show the values tested) f) Local maxima and local minima g) Intervals of concavity and points of inflection (be sure to show all testing) h) summary for f(x)=(x^2)/(x-2) Domain X intercepts: Y intercept: symmetry: asymptote: increasing: decreasing: local max: local min:...
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.
Consider the quadratic function f, given by f(x) = −x2 + 6x−8. (i) Determine if the...
Consider the quadratic function f, given by f(x) = −x2 + 6x−8. (i) Determine if the graph of y = −x2 + 6x − 8 is concave up or concave down, providing a justification with your answer. (ii) Re-write the equation of the quadratic function f, given by f(x) = −x2 +6x−8, in the standard form f(x) = a(x−h)2+k by completing the square. Hence determine the vertex of the graph of y = f(x). (iii) Identify the x-intercepts and y-intercept...
f(x) = 3x + 2    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ___
f(x) = 3x + 2    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________                                                                 Increasing: _____________________________ Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________ f(x) = ½ x – 4    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________                                                                 Increasing: _____________________________   Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________ f(x) = x2 + x + 6    Domain: ________________________________                 Graph:...
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT