Ohio Assessments for Educators (OAE) Mathematics Practice Exam

Disable ads (and more) with a membership for a one time $2.99 payment

Prepare for the Ohio Assessments for Educators Mathematics Test with our interactive quizzes. Utilize flashcards and multiple choice questions, complete with hints and explanations, to boost your readiness.

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

Practice this question and more.

What indicates that a function fails the horizontal line test?

It has the same output for different inputs
It has no inputs at all
It is a straight vertical line
It passes the vertical line test

The correct answer is: It has the same output for different inputs

A function fails the horizontal line test if there are at least two distinct inputs (x-values) that produce the same output (y-value). This means that a horizontal line drawn across the graph of the function intersects it at more than one point, indicating that the function does not have a unique output for every input. This is particularly important in determining whether a function is one-to-one, which is a necessary condition for the function to have an inverse. The other options do not directly pertain to the characteristics measured by the horizontal line test. A function having no inputs means it is not defined, and thus the test is not applicable. A straight vertical line represents a relation, not a function, which does not pass the vertical line test, while passing the vertical line test indicates that there is only one output for each input, which does not provide any information about whether it passes the horizontal line test.