Question

3
select the correct answer from each drop-down menu.
a function is a relation where each input value is assigned to ▼ one output value.
the ▼ of a function is the set of all input values, or x-values, for which the function is defined.
the ▼ of a function is the set of all output values, or y-values, for which the function is defined.
to write the equation $y = ax + b$ in function notation, substitute ▼ for y.
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Explanation:

1. A function's definition requires each input to map to exactly one output.
2. The set of all valid input (x) values of a function is called its domain.
3. The set of all resulting output (y) values of a function is called its range.
4. Function notation uses $f(x)$ to represent the output value corresponding to input $x$, so we substitute $f(x)$ for $y$.

Answer:

1. A function is a relation where each input value is assigned to exactly one output value.
2. The domain of a function is the set of all input values, or x-values, for which the function is defined.
3. The range of a function is the set of all output values, or y-values, for which the function is defined.
4. To write the equation $y = ax + b$ in function notation, substitute $f(x)$ for $y$.