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Tamiku [17]
3 years ago
7

What are the domain and range of the algebraic function you found by graphing the equation y = 36 – 3x? Please hurry I'm being t

imed and I don't understand this!!!!
Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

Domain =(-\infty,\ \infty)

Range =(-\infty,\ \infty)

Step-by-step explanation:

Domain : Domain of a function f(x) is the set of all possible values of x for which f(x) exists.

Range : range of a function f(x) is the set of all possible values of f(x).

Here f(x)=36-3x

x can be any value from -\infty to \infty.

\forall\ x=a\ there\ exists\ f(x)\ such\ that\ f(a)=36-3a

hence possible value of x can be any value between -\infty and \infty

domain =(-\infty,\ \infty)

let y=-f(x)

y=36-3x\\3x=36-y\\\\\\x=\frac{36-y}{3}\\

so \forall\ f(x)=y\ there\ exist\ x\ \in(-\infty,\ \infty).

hence f(x) can have any value between -\infty\ to\ \infty..

Range =(-\infty,\ \infty)

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