Question

Given the following linear function sketch the graph of the function and find the domain and range.

ƒ(x) = -5x + 4

Answer 1

 domain of the problem is -5 and the range is 4

Answer 2

`D=x\in R`

`R=x\in R`.

Explanation:

(The graph is attached)

Remember that the domain is the set which contains all the values that x can use. In this case, the x can use all values possible, therefore, we say that the domain is all Real Number Set.
`D=x\in R`

Similarly, the range is the set which contains all values that y can use. In this case, the y can use all values possible. Therefore, the range is
`R=x\in R`.

Generally, all linear functions have this domain and range because they don't have any special restriction like rational or irrational functions.