Question

which statement could be used to explain why $f(x) = 2x - 3$ has an inverse relation that is a function?
the graph of $f(x)$ passes the vertical line test.
$f(x)$ is a one-to-one function.
the graph of the inverse of $f(x)$ passes the horizontal line test.
$f(x)$ is not a function.

Explanation:

A function has an inverse that is also a function if and only if it is one-to-one (each output maps to exactly one input). The vertical line test confirms a relation is a function, not that its inverse is a function. The inverse's graph would pass the vertical line test, not horizontal. The given $f(x)=2x-3$ is a linear function, so the final option is false.

Answer:

B. $f(x)$ is a one-to-one function.