Q:

consider the equation y=16-x. which of the following statements is true a. x is a function of y, but y is not a function of x.b. y is a function of x, but x is not a function of y.c. both x is a function of y and y is a function of x.d. neither x is a function of y, nor is a function of x

Accepted Solution

A:
Answer:C. Both x is a function of y and y is a function of xStep-by-step explanation:A function is a relationship which assigns to each input (from the domain) value, a unique output (from the range).y is a function of x means x is from domain, y is from rangex is a function of y means y is from domain, x is from range1. Given [tex]y=16-x[/tex]y is a function of x because for each x there is exactly one y corresponding to this x.2. Rewrite [tex]y=16-x[/tex] expressing x in terms of y:[tex]y-16=-x\\ \\-x=y-16\\ \\x=16-y[/tex]x is a function of y because for each y there is exactly one x corresponding to this x.