Given:
a) determine the equation of the vertical asymptote
b) show that this function doesn't have a horizontal asymptote
c) determine the equation of the slant asymptote when x goes to + infinite
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Given:
a) determine the equation of the vertical asymptote
b) show that this function doesn't have...
5x2 3. Find all of the asymptotes of the rational function f(x) = Vertical Asymptote(s): Horizontal...
5x2 3. Find all of the asymptotes of the rational function f(x) = Vertical Asymptote(s): Horizontal Asymptote: Slant/Oblique Asymptote:
1. Given, the rational function below, sketch a neat and labeled graph by filling in each...
1. Given, the rational function below, sketch a neat and labeled graph by filling in each of the blanks with appropriate work: 2x² + 8x f(x)= x-2 a) Domain in intervals b) Equation of vertical asymptote(s), if any c) Equation of horizontal asymptote or slant asymptote, if any (write n and m). d) Ordered pair(s) of point where function touches its horizontal or slant asymptote c) x-intercept(s) and its y-intercept, if any Test for symmetry and state your conclusion
For the following function, find the hole, x-intercept, y-intercept, vertical asymptote, horizontal asymptote, and oblique asymptote....
For the following function, find the hole, x-intercept, y-intercept, vertical asymptote, horizontal asymptote, and oblique asymptote. If something doesn't exist, enter NONE (in all caps). $(x) = 42 hole (,Y):( x-intercept (x, y):( , y-intercept (x, y):( vertical asymptote: vertical asymptote: horizontal asymptote: oblique asymptote:
A. Give the equation of each vertical asymptote, and give the corresponding factor that will appear...
A. Give the equation of each vertical asymptote, and give the
corresponding factor that will appear in the rational function.
vertical
asymptote
factor
Should these factors appear in the numerator or denominator of
function?
B. Give the x-intercept of the function, tell whether the graph
crosses or touches the x-axis, give the corresponding factor that
will appear in the rational function, and tell whether the power
will be even or odd.
x-intercept
cross/touch
factor
odd/even power
Should these factors appear...
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C)...
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C) y - 1 B) y--3 D) None Sketch the graph of the rational function. Indicate the equations of the vertical and horizontal asymptotes and the y-intercept. 40) f(x)* Vertical Asymptote: Horizontal Asymptote y-intercept 36) gix) x2 + 8x - 5 x-5 A) y - 5 C) None B) y = 0 D) y - 8 37)(x) x2.5 A) y = 0 C) None B)...
Let f(x) = 4 x² +7 x – 3 (a) Find the vertical asymptote(s) of the...
Let f(x) = 4 x² +7 x – 3 (a) Find the vertical asymptote(s) of the graph of f(x). x = (b) Find the horizontal asymptote(s) of the graph of f(x). y = (c) Find the slant asymptote(s) of the graph of f(x). y = Note: Use a comma-separated list for multiple answers or the word NONE if no such asymptote exists.
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal as...
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
Determine the vertical asymptote() of the graph of the function. f(x) = (x + 9)/(7x ^...
Determine the vertical asymptote() of the graph of the function.
f(x) = (x + 9)/(7x ^ 2 + 9x - 10)
Determine the vertical asymptote(s) of the graph of the function. x+9 f(0) = 722 + 9x - 10 x=9 O None x= -2 and x = 7 x = 2 and x = -5
3. Determine an equation of a rational function of the form f(x)= ar+b cx+d with x-intercept...
3. Determine an equation of a rational function of the form f(x)= ar+b cx+d with x-intercept of 1/4, y-intercept of -1/2, vertical asymptote at x =-2/3, and horizontal asymptote at y = 4/3.
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the...
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the domain off. Identify any vertical asymptotes of the graph of y = f(x). Identify any holes in the graph. Find the horizontal asymptote, if it exists. Find the slant asymptote, if it exists. 1) f(x) = ***
5x2 3. Find all of the asymptotes of the rational function f(x) = Vertical Asymptote(s): Horizontal Asymptote: Slant/Oblique Asymptote:
1. Given, the rational function below, sketch a neat and labeled graph by filling in each of the blanks with appropriate work: 2x² + 8x f(x)= x-2 a) Domain in intervals b) Equation of vertical asymptote(s), if any c) Equation of horizontal asymptote or slant asymptote, if any (write n and m). d) Ordered pair(s) of point where function touches its horizontal or slant asymptote c) x-intercept(s) and its y-intercept, if any Test for symmetry and state your conclusion
For the following function, find the hole, x-intercept, y-intercept, vertical asymptote, horizontal asymptote, and oblique asymptote. If something doesn't exist, enter NONE (in all caps). $(x) = 42 hole (,Y):( x-intercept (x, y):( , y-intercept (x, y):( vertical asymptote: vertical asymptote: horizontal asymptote: oblique asymptote:
A. Give the equation of each vertical asymptote, and give the
corresponding factor that will appear in the rational function.
vertical
asymptote
factor
Should these factors appear in the numerator or denominator of
function?
B. Give the x-intercept of the function, tell whether the graph
crosses or touches the x-axis, give the corresponding factor that
will appear in the rational function, and tell whether the power
will be even or odd.
x-intercept
cross/touch
factor
odd/even power
Should these factors appear...
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C) y - 1 B) y--3 D) None Sketch the graph of the rational function. Indicate the equations of the vertical and horizontal asymptotes and the y-intercept. 40) f(x)* Vertical Asymptote: Horizontal Asymptote y-intercept 36) gix) x2 + 8x - 5 x-5 A) y - 5 C) None B) y = 0 D) y - 8 37)(x) x2.5 A) y = 0 C) None B)...
Let f(x) = 4 x² +7 x – 3 (a) Find the vertical asymptote(s) of the graph of f(x). x = (b) Find the horizontal asymptote(s) of the graph of f(x). y = (c) Find the slant asymptote(s) of the graph of f(x). y = Note: Use a comma-separated list for multiple answers or the word NONE if no such asymptote exists.
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
Determine the vertical asymptote() of the graph of the function.
f(x) = (x + 9)/(7x ^ 2 + 9x - 10)
Determine the vertical asymptote(s) of the graph of the function. x+9 f(0) = 722 + 9x - 10 x=9 O None x= -2 and x = 7 x = 2 and x = -5
3. Determine an equation of a rational function of the form f(x)= ar+b cx+d with x-intercept of 1/4, y-intercept of -1/2, vertical asymptote at x =-2/3, and horizontal asymptote at y = 4/3.
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the domain off. Identify any vertical asymptotes of the graph of y = f(x). Identify any holes in the graph. Find the horizontal asymptote, if it exists. Find the slant asymptote, if it exists. 1) f(x) = ***
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