What effect does an increase in 'b' have on a rational function?

Prepare for the UGA Math Placement Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Ace your exam with confidence!

In the context of a rational function, an increase in the variable 'b' typically refers to a modification in the function's structure that can affect its shape or position on the graph. When examining how a rational function behaves with respect to changes in parameters, the term 'b' often represents a coefficient in the numerator or denominator.

If 'b' is included within the denominator of a rational function, increasing 'b' can make the function's values approach zero more quickly as the input values are manipulated, particularly influencing vertical asymptotes. Additionally, if 'b' is part of the structure determining how the function approaches those asymptotes, it may create a zoning effect, pushing the function values inward toward the vertical asymptotes or drastically affecting the function's range.

Therefore, in this context, an increase in 'b' indeed moves parts of the function inward, affecting the function’s overall behavior and graphical depiction. The interpretation of the other choices may not align correctly with standard transformations related to rational functions; hence, they do not adequately describe the effect seen when 'b' is increased.

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