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Alex787 [66]
3 years ago
8

How would the domain and range of the function y = one-fourth x minus 6 be determined? Explain.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

Domain = ( -∞ , ∞ )

Range = ( ∞ , ∞ )

Step-by-step explanation:

A function is given to us and we need to find the domain and range of the given function .

<u>The </u><u>function</u><u> </u><u>:</u><u>-</u><u> </u>

\rm \implies y = \dfrac{1}{4}x - 6

Definitions :-

  1. <u>Range </u>:- The range is the set of all valid y values .
  2. <u>Domain</u> :- All real numbers except where the expression is undefined.

In this case, there is no real number that makes the expression undefined. Therefore the domain will be :-

<u>Domain</u><u> </u><u>:</u><u>-</u><u> </u>

\rm Domain = ( -\infty , \infty )

or

\rm Domain = \{ x | x \in \mathbb{R} \}

<u>Range </u><u>:</u><u>-</u><u> </u>

\rm Range = ( -\infty , \infty )

or

\rm Range = \{ y | y \in \mathbb{R}\}

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