Question

Find traits and **sketch** the graph the equation
for a function g ( x ) that shifts the function f ( x ) = x + 4 x 2
− 16 two units right. **Label and scale your
axes.**

Domain:

x – Intercepts:

y – Intercept:

Vertical Asymptotes:

Holes:

End Behavior:

Range:

Answer #1

for better understand I upload a software graph

For the function f(x) = ? 3−1 ? 2−9 , find any slant asymptotes
and sketch the graph by finding any vertical asymptotes, horizontal
asymptotes, x intercepts, y intercept.

Sketch the graph of the function f(x) = x − 4 / x + 4 using the
guidelines below, a. Determine the domain of f.
b. Find the x and y intercepts.
c. Find all horizontal and vertical asymptotes.
d. Determine the intervals of increasing/decreasing.
e. Determine the concavity of f.

Question 1a Consider the polynomial function P(x) = x3+x2−20x.
Sketch a graph of y = P(x) by: determining the zeros of P(x),
identifying the y-intercept of y = P(x), using test points to
examine the sign of P(x) to either side of each zero and deducing
the end behaviour of the polynomial.
b Consider the quadratic function f(x) = 2x2 + 8x−1. (a) Express
f(x) in standard form. (b) Determine the vertex of f(x). (c)
Determine the x- and y-intercepts...

Graph the quadratic function f x( ) = −2x 2 + 6x − 3. Give the
vertex, axis, x-intercepts, y-intercept, domain, range, and
intervals of the domain for which the function is increasing or
decreasing.

Find the vertical asymptotes, horizontal asymptote, and x and y
intercepts of the following function and sketch a graph
f(x) = (x^2 − 4) / (x^2 − 2x − 15)

For the rational function f(x)= (3x^3 - 27x^2 + 60x) / (2x^2 +
2x - 40) find the domain, x-intercepts, y-intercept, and vertical
asymptote/ vertical asymptotes.

Clearly sketch the graph of y=x- 2 /(x+3)^2 and label in your
graph everything (intercepts, asymptotes, extrema, inflection
points)

Analyze the function f and sketch the curve of f by hand.
Identify the domain, x-intercepts, y-intercepts, asymptotes,
intervals of increasing, intervals of decreasing, local maximums,
local minimums, concavity, and inflection points. f(x) = 3x^4 −
4x^3 + 2

1. Make the tables of values and sketch the graph of the
equation. Find the x and y intercepts and test for symmetry
a. y = √ x+4
b. y = -|x|
2. Make a table of values, and sketch the graph of the equation.
Find the x- and y-intercepts, and test for
symmetry.
a. y = √ 4 - x²
b. y = y³ + 2y

Find a rational function with x-intercepts –2 and 5, y-intercept
5, and vertical asymptotes x = 3 and x = 6. State the horizontal
asymptote of the graph of the function.

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