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 best describes the range of the function f(x) = √(ax + b)?

All real numbers
0 to infinity
Any real number below 0
Negative values only

The correct answer is: 0 to infinity

The function f(x) = √(ax + b) describes a square root function, which inherently has specific properties related to its output (the range). The square root function is defined only for non-negative values of its input, meaning that for the function to yield real numbers, the expression ax + b must be greater than or equal to zero. If we consider the nature of the square root, we see that it produces outputs that start at zero (when ax + b = 0) and extend upward towards positive infinity as the value of ax + b increases. Hence, the lowest value that f(x) can output is 0, and there is no upper limit to how large the output can be. This makes the range of the function specifically the interval from 0 to positive infinity. Therefore, the best description of the range of the function f(x) = √(ax + b) is indeed from 0 to infinity, reflecting the fact that the square root function can never yield negative outputs or values smaller than zero.