8
QuizMultiple Choice

Mathematical Modeling: Part Three — Test

Question 8 • Mathematics III

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 infinity. To which family of functions might the described function belong?

Answer
A
reciprocal
B
exponential
C
quadratic
D
square root

Explanation

As the domain values go toward both positive and negative infinity, the function values rise toward positive infinity. A quadratic function with a positive leading coefficient has this end behavior: both ends of its graph point upward. Reciprocal, exponential, and square-root functions do not have both ends rising this way.

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