What is the domain of the function f(w) = 0.5(35 – 2w)? Explain your answer.

Question

What is the domain of the function f(w) = 0.5(35 – 2w)? Explain your answer

Answer 1

Lets rewrite the function so that we get rid of parentheses.

 

f(w) = 0.5(35 - 2w)

 

f(w) = 17.5 - w

 

          or

 

f(w) = -w + 17.5

 

This is a linear function with -1 being the slope and 17.5 being the y-intercept.  Therefore, the domain is all real numbers in the interval.

 

(-∞, ∞)