Question

question 1 of 5
select the correct answer.
which statement is true?
a function is a relation where each output value is assigned to exactly one input value.
the domain of a function is the set of all output values, or y - values, for which the function is defined.
the range of a function is the set of all input values, or x - values, for which the function is defined.
to write the equation y = ax + b in function notation, substitute f(x) for y.

Explanation:

• Analyze each option:
• Option 1: A function is a relation where each input (not output) has exactly one output. So this is incorrect.
• Option 2: The domain is input (x - values), range is output (y - values). So this is incorrect.
• Option 3: Range is output (y - values), domain is input (x - values). So this is incorrect.
• Option 4: To convert \(y = ax + b\) to function notation, we substitute \(f(x)\) for \(y\), getting \(f(x)=ax + b\). This is correct.

Answer:

To write the equation \( y = ax + b \) in function notation, substitute \( f(x) \) for \( y \).