616
QuizMultiple Choice

Modeling with Rational Functions — Unit test

Question 616 • Crowley Credit Recovery Algebra II B

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?

Answer
a
absolute value
e
exponential
c
cube root
s
square root

Explanation

As x approaches positive infinity, the function’s values also approach positive infinity, and as x approaches negative infinity, its values approach negative infinity. This matches the end behavior of a cube root function, which increases from lower left to upper right. Absolute value and square root functions do not extend to negative x in their usual forms, and an exponential function does not approach negative infinity as x approaches negative infinity.

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