Question

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.

Answer 1

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

Explanation:

A relation is a mapping from a set of input values, called the domain, to a set of output values, called the range. In a relation, each element in the domain can be assigned to one or more elements in the range.

A function is a relation where each input value is assigned to exactly one output value.

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range 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 f(x) for y, resulting in the function f(x) = ax + b.

Answer 2

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

Explanation:

The only true statement is the last one.

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A function assigns exactly one output value to each input value.

The domain is the set of all input, or x-values.

The range is the set of all output, or y-values.

y=ax+b can be written in function notation by replacing y with f(x).