True or False: For a rational function $f(x) = \frac{a}{x-h} + k$ , if , the function is strictly decreasing on both of its disjoint domain intervals and .

True or False: The lines $y - k = x - h$ and $y - k = -(x - h)$ are lines of symmetry for the graph of the rational function

The rational function $f(x) = \frac{2x+5}{x-1}$ can be rewritten in the form . Determine the value of the parameter .

True or False: For the parent reciprocal function $f(x) = \frac{1}{x}$ , the output approaches as approaches from the right ().

MYP MYP Extended Mathematics Topic Rational Functions Questionbank

Practice MYP MYP Extended Mathematics Topic Rational Functions with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for Rational Functions and mirrors Paper 1, 2 style where relevant.

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a > 0

(-\infty, h)

(h, \infty)

True

False

−

−(x−

f(x) = \frac{a}{x-h} + k

True

False

f(x) = \frac{a}{x-h} + k

a

f(x)

f (x)

+\infty

x

0

x \to 0^+

True

False

Question 2

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Question 3

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Question 4

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Question 5

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A function that involves the square root of a polynomial

A function that can only be written as a product of two linear terms

A function where the variable $x$ is in the exponent

A function that can be written as the quotient of two polynomials $\frac{P(x)}{Q(x)}$ where $Q(x)\neq 0$