Question

given P(x)= 2(x-1)(x+1)^2(x+2) answer the following a) what is the leading term of P(x) b) what is the degree of p(x) c) as x approaches infinity, the function P(x) _____ d) as x approaches negative infinity, the function P(x)______ e) how many turning points does it have? f) what are the coordinates of the x intercepts? g) find the coordinates of the P intercepts

Answer #1

Given f(x) = x4 – 4x3, graph the nonlinear
function and answer the following:
a) What coordinates are the absolute minimum?
b) The function is concave downward for
c) The function is increasing for what values of X?
d) What are the X- intercepts?
e) What coordinates are the inflection point?

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...

11) Let p(x) = (4x^2-9)/(4x^2-25)
(a) What is the domain of the function p(x)?
(b) Find all x- and y-intercepts.
(c) Is function p(x) an even or odd function?
(d) Find all asymptotes.
(e) Find all open intervals on which p is increasing or
decreasing.
(f) Find all critical number(s) and classify them into local
max. or local min..
(g) Sketch the graph of p. [Please clearly indicate all the
information that you have found in (a)–(f) above.]

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

given that f'(x)=-3x^2 -6x answer the following
what inteeval is f(x) increasing or decreasinf
find x coordinates of all inflection points of f(x)
on what interval is f(x) concave up and down
suppose (-2,0), (1,0) and (0,4) are intercepts of f(x) whose
domain is all real. sketch a possible graph of f(x)
find f(x) by integrating f'(x) and intercept information from
above
find all global extrema on interval [-1,5]
show work please and thanks in advance :)

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...

.Given: f '(x) = x^2 (x-1) (x-2),
a) Find three first order critical values of f(x).
b) Categorize what is happening at each of them (e.g. rel max,
rel min, etc).
c) What is the degree of f(x)?
d) How many infiection points does f(x) have?
2.) Find the absolute max. value of f(x) =2x^3+ 3x^2 - 12x- 1on
the closed interval [0,2]

Let X be a random variable with probability mass function
P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6
(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5).
You answer should give at least the values g(k) for all possible
values of k of X, but you can also specify g on a larger set if
possible.
(b) Let t be some real number. Find a function g such that
E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)

Given: ?(?) = 8/ (4−?^2) and ?(?) = sin(?) − ?. Answer the
following for each of the functions given. (a) Find the domain (b)
Find the intercept(s) (c) Find the asymoptote(s) (d) Find the
possible critical and inflection numbers (e) Construct a sign table
for Hint for (f(x), f'(x), and f'' (x) and show step by step (f)
Find the intervals in which the function is increasing/decreasing
(g) Find the intervals in which the function is concave up/down (h)...

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

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