Question

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

Answer #1

The solution is given below

Graph: f(x)= 2
Find (a) The domain of f.
(b) All asymptotes (write the equations)
(c) X- intercept(s), Y- intercept. Write them as ordered
pairs.
(d) Graph the function. Include asymptotes

Find the degree 3 Taylor polynomial T3(x) of function
f(x)=(7x−5)^3/2 at a=2. T3(x)=

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

Find the formula for the cubic function (third degree
polynomial) whose graph has the given properties: • A y-intercept
of 63 and x-intercepts at x = −8, 25, 30.

(1 point) Find the degree 3 Taylor polynomial T3(x) of
function
f(x)=(7x+67)^(5/4)
at a=2
T3(x)=?

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 :)

1. a) For the polynomial f(x) = ?4 − 4?^3 + 22?^2 + 28?− 203,
find the following:
a. Find all the zeros using the given zero ? = 2 − 5?. Write the
zeros in exact form.
b. Factor f(x) as a product of linear factors.
Zeros: x = x = x= x=

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.

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...

A20) Given that f(x) is a cubic function with
zeros at −2−2 and 2i−2, find an equation for f(x) given that
f(−7)=−6
B19) Find a degree 3 polynomial whose coefficient
of x^3 equal to 1. The zeros of this polynomial are 5, −5i, and 5i.
Simplify your answer so that it has only real numbers as
coefficients.
C21) Find all of the zeros of P(x)=x^5+2x^3+xand
list them below with zeros repeated according to their
multiplicity.
Note: Enter the zeros as...

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