Question

Consider the equation y=16-x. which of the following statements is true

Answer 1

Answer:

C. Both x is a function of y and y is a function of x

Step-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 range

x is a function of y means y is from domain, x is from range

1. Given $y=16-x$

y is a function of x because for each x there is exactly one y corresponding to this x.

2. Rewrite $y=16-x$ expressing x in terms of y:

$y-16=-x\\ \\-x=y-16\\ \\x=16-y$

x is a function of y because for each y there is exactly one x corresponding to this x.