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Transformations, Graphs, and Diagrams:
1) For the function () = −2 ) !
".$(&'() * + 4:
a) State the following information:
= _____ = _____ = _____ = _____ [2]
b) State any asymptotes. [1]
c) Sketch the transformed function () = −2 ) !
".$(&'() * + 4 , including table of key
points with transformations. In you graph clearly state the points and asymptote(s).
[3]
(
!
" + , + ,
d) Correctly state the domain and range of the function () sketched above.

help please Transformations Graphs and Diagrams 1 For the function 2 amp 4 a State the following information 2 b State any asymptotes 1 c Sketch the transformed class=


Answer :

ashishdwivedilVT

The domain is x < 3 or x > 3 and the range is y < 4 or y > 4.

It is required to find the domain and range of the function

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The function is given as:

f(x) = -2[1/0.5(x -3)] + 4

A reciprocal function is generally represented as:

f(x) = a[1/(x -c)] + k

So, we have:

a = -2

c = -3 * 0.5

c = -1.5

k = 4

d = 0

Hence, the values of a, c, d and k are -2, -1.5, 0 and 4

The asymptotes

We have:

f(x) = -2[1/0.5(x -3)] + 4

Set the radical to 0

y = 0 + 4

Evaluate

y = 4

Set the denominator to 0

x - 3 = 0

Evaluate

x = 3

Hence, the asymptotes are x = 3 and y = 4

The graph of the function

See attachment for the graph of the function f(x) = -2[1/0.5(x -3)] + 4

The table of values is

x         y

-4        4.6

-2      4.8

2        8

4        0

Therefore, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4.

Learn more about function here:

https://brainly.com/question/12431044

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