Homework Answers
Correct option: (a) a is negative, and b is even
Reason: Since it is already given that b is positive, it order to make values of y = f(x) positive, it must hold true that (1) a be negative and (2) b be an even number
This is because even when x is very large and negative, the negative sign of a would make the product positive and an even sign of b would make the square of the term (x-3) positive again.
-100x 1. Given the function f(x)=- (1-0.5x) (a) Find the y-intercept point (if there is any):...
-100x 1. Given the function f(x)=- (1-0.5x) (a) Find the y-intercept point (if there is any): (b) Find the x-intercept point(s) (if there is any): (c) Find f'(x): (d) Find critical number(s) of f(x) (Type 1 and Type 2, if there are any): (e) Find the critical point(s) (if there are any): (f) Find the open x-intervals where f(x) increases and decreases: (g) Find the behavior of the function for very large positive x-values (find limit as x goes to...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph 7) 7) 2 a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even c. Approximate the real zeros of the function, and determine if their...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph. 7) 7) - 4+ 3+ a. Determine the minimum degree of the polynomial based on the number of tuming points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine...
What does the graph of the polynomial function tell you about the (A) sign of the...
What does the graph of the polynomial function tell you about the (A) sign of the leading coefficient, (B) the degree of the function, and (C) the number of real zeros? Explain your answers! A. OThe sign of the leading coefficient is negative because the end behavior is from an equation of odd degree and negative leading coefficient OThe sign of the leading coefficient is positive because the end behavior is from an equation of odd degree and positive leading...
The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx...
The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants • A vertically scales the function. (negative A reflects the function about the x-axis.) • B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(z) into g(x) where the transformation is g(x) = -f(x) The function f(s) is shown below...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of f(x) rises left and falls right. B. The graph of f(x) falls left and rises right. OC. The graph of f(x) falls left and falls right. OD. The graph of f(x) rises left and rises right. b) Find the x-intercepts. X= (Type an integer or a decimal....
8) 8) 41 3+ 2+ + 3-4-5 org 2+ 3+ 4+ a. Determine the minimum degree...
8) 8) 41 3+ 2+ + 3-4-5 org 2+ 3+ 4+ a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine if their multiplicity is odd or even. A) a. Minimum degree 2 b. Lending coefficient positive degree even...
Question For this problem, consider the function y=f(x)= |x| + x 3 on the domain of...
Question For this problem, consider the function
y=f(x)=
|x|
+
x
3
on the domain of all real numbers.
(a) The value of
limx→
∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(b) The value of
limx→
−∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(c) There are two x-intercepts; list these in increasing
order: s=
, t=
.
(d) The intercepts in part (c) divide...
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2)....
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
79 Consider the function f(1) = -2(x + 1)3 Answer all parts: (a) - (f). (a)...
79 Consider the function f(1) = -2(x + 1)3 Answer all parts: (a) - (f). (a) What is the degree of f(x)? The degree of f(s) is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts Olike 72 (ie both ends up) o like - 22 (ie both ends down) O like x3 (ie, lett end down, right end up) Olike - (ie, left end up right end down) None of the...
-100x 1. Given the function f(x)=- (1-0.5x) (a) Find the y-intercept point (if there is any): (b) Find the x-intercept point(s) (if there is any): (c) Find f'(x): (d) Find critical number(s) of f(x) (Type 1 and Type 2, if there are any): (e) Find the critical point(s) (if there are any): (f) Find the open x-intervals where f(x) increases and decreases: (g) Find the behavior of the function for very large positive x-values (find limit as x goes to...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph 7) 7) 2 a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even c. Approximate the real zeros of the function, and determine if their...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph. 7) 7) - 4+ 3+ a. Determine the minimum degree of the polynomial based on the number of tuming points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine...
What does the graph of the polynomial function tell you about the (A) sign of the leading coefficient, (B) the degree of the function, and (C) the number of real zeros? Explain your answers! A. OThe sign of the leading coefficient is negative because the end behavior is from an equation of odd degree and negative leading coefficient OThe sign of the leading coefficient is positive because the end behavior is from an equation of odd degree and positive leading...
The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants • A vertically scales the function. (negative A reflects the function about the x-axis.) • B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(z) into g(x) where the transformation is g(x) = -f(x) The function f(s) is shown below...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of f(x) rises left and falls right. B. The graph of f(x) falls left and rises right. OC. The graph of f(x) falls left and falls right. OD. The graph of f(x) rises left and rises right. b) Find the x-intercepts. X= (Type an integer or a decimal....
8) 8) 41 3+ 2+ + 3-4-5 org 2+ 3+ 4+ a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine if their multiplicity is odd or even. A) a. Minimum degree 2 b. Lending coefficient positive degree even...
Question For this problem, consider the function
y=f(x)=
|x|
+
x
3
on the domain of all real numbers.
(a) The value of
limx→
∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(b) The value of
limx→
−∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(c) There are two x-intercepts; list these in increasing
order: s=
, t=
.
(d) The intercepts in part (c) divide...
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
79 Consider the function f(1) = -2(x + 1)3 Answer all parts: (a) - (f). (a) What is the degree of f(x)? The degree of f(s) is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts Olike 72 (ie both ends up) o like - 22 (ie both ends down) O like x3 (ie, lett end down, right end up) Olike - (ie, left end up right end down) None of the...
Most questions answered within 3 hours.
-
what sort of treatment is planned for a barrel of wine to be
"aged" for sale?...
asked 9 seconds ago -
What is the energy of 500 nm green light, in kilojoules per mole
of photons?
asked 49 seconds from now -
2. Your brother, who is 6 years old, just received a trust fund
that will be...
asked 10 minutes ago -
Sixty percent of teachers at a high school are female. Forty
percent of the teachers are...
asked 17 minutes ago -
Evaluate for A = 6, B = 4, and C =
2.
F = A ^...
asked 13 minutes ago -
how do I determine %yield and theoretical yield from
Fisher esterification reaction?
Glacial acetic acid M.W=...
asked 14 minutes ago -
The wine industry is characterized by thousands of vineyards
selling a variety of wines (Chardonnay, Sauvignon...
asked 14 minutes ago -
(a) A piston at 5.5 atm contains a gas that occupies a volume of
3.5 L....
asked 15 minutes ago -
You own a bar on Fry Street. Discuss three ways you can increase
attention for your...
asked 26 minutes ago -
Log on. Move to cs202 directory (use 'cd').
Copy the programs circle.cpp :
/* Program: circle.cpp...
asked 29 minutes ago -
Anchor Company purchased a manufacturing machine with a list
price of $85,000 and received a 2%...
asked 32 minutes ago -
Suppose there are 2 firms in an industry with marginal abatement
cost curves:
MACA = 400...
asked 49 minutes ago