Why do rational functions have domain restrictions?
Semester Exam PreCal (fall)

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•
Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Rational functions have domain restrictions because you can't divide by zero.
2.
FLASHCARD QUESTION
Front
What is a Vertical Asymptote?
Back
A vertical asymptote is a line x = a where the function approaches infinity or negative infinity as x approaches a.
3.
FLASHCARD QUESTION
Front
What is the range of a parabola that opens upwards?
Back
The range of a parabola that opens upwards is y ≥ k, where k is the minimum value of the function.
4.
FLASHCARD QUESTION
Front
Identify the point(s) of discontinuity at the hole for the function f(x) = \frac{x+2}{(x-3)(x+2)}.
Back
The point of discontinuity at the hole is x = -2.
5.
FLASHCARD QUESTION
Front
Factor the expression 4x^2 - 25.
Back
The factored form is (2x + 5)(2x - 5).
6.
FLASHCARD QUESTION
Front
What is the definition of a rational function?
Back
A rational function is a function that can be expressed as the quotient of two polynomials.
7.
FLASHCARD QUESTION
Front
What is the significance of holes in a rational function?
Back
Holes indicate points where the function is not defined due to common factors in the numerator and denominator.
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