How do you find the domain and range for y= -2x+3, x>0?

1 Answer
Stefan V.
Aug 3, 2015

Domain: (0, +oo)
Range: (-oo, 3)

Explanation:

The problem actually gives you the domain of the function as being described by x>0.

More specifically, the domain of the functioncannot include negative values of x, as well as x=0.

This means that the domain of the function will be (0,+oo).

Now for the range of the function. SInce x is always positive, the term -2x will always be negative. You can find the range of the function by using x=0 to find the maximum value f(x) cannot take

f(0) = -2 * 0 + 3 = 3

This means that the function's range will be (-oo, 3), since f(x) will produce a value smaller than 3 for any x belonging to the (0, +oo) domain.

Related questions
See all questions in Domain and Range of a Function
Impact of this question
2432 views around the world
You can reuse this answer
Creative Commons License