Question

*f(x)= 4 ^{x-2}+3*

**Include on the graph the key point (as an ordered pair),
the equation of the Horizontal Asymptote, and the y-intercept (as
an ordered pair). Show Work (algebraic) for the key point or
indicate the transformation (shifts).**

Answer #1

Sketch exponential decay.
Include on the graph the key point (as an ordered pair),
the equation of the Horizontal Asymptote, and the y-intercept (as
an ordered pair). Show Work (algebraic) for the key point or
indicate the transformation (shifts).

consider the function f(x)=(4x^2 + 5)/(x-3)
1. then the equation of the horizontal asymptote is?
2. the equation of the verifcal asymptote is?
3. if there is an oblique asymptote enter the equation, if
none enter DNE.

Let f (x) = 4X^2 -9 /X^2-16
(a) State the y-intercept
. (b) State the x-intercept(s).
(c) State the vertical asymptote(s).
(d) State the horizontal asymptote.

r(x)= x^2+4x+3 divided by (x-5)(x-2)(x+3)
a. determine the domain of r(x)
b. determine the zeros, vertical asymptotes and holes
c. determine the y intercept of r(x)
d. determine the equation of the horizontal asymptote of
r(x)

For the rational function
?(?)=(?+3)(?−1)(?−3)(?+1)f(x)=(x+3)(x−1)(x−3)(x+1).
Find the vertical asymptote(s):
Note: If there is more than one, use commas to separate your
answers
?=x=
Find the ?x-coordinate of each ?x-intercept:
Note: If there is more than one, use commas to separate your
answers
?=x=
Find the horizontal asymptote:
Note: If there is no horizontal asymptote, enter ‘none’
?=y=
Find the ?y-coordinate of the ?y-intercept:
?=y=
Select the correct graph of ?=?(?)y=f(x): ? Graph A
Graph B Graph C Graph D Graph E...

The coordinates of the turning point of the graph of y = 4x
2 − x − 3

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

Graph the equation ?? = ??^2????6/2??^2?2 by hand. find and show
the algebra to find the EQUATIONS of the vertical asymptote(s),
horizontal asymptote (if there is one), as well as the x and y
intercepts.

1. Answer the questions about the following
function.
f(x) = x + 11 / x - 9
(a) Is the point (4, - 17 /3) on the graph of f?
A. Yes, because substituting x = - 17 / 3 into the given
equation results in 4.
B. Yes, because substituting x = 4 into the given equation
results in - 17 / 3.
C. No, because substituting x = 4 into the given equation does
not result in -...

Give an example of a rational function f whose graph has the
following properties.
vertical asymptote: x = 2
horizontal asymptote: y = 1
x-intercept: (5, 0)

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