WS 2 Rational Expressions practice (1)
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Millwoods Christian School *
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TRIGONOMET
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Mathematics
Date
Nov 24, 2024
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docx
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Rational Expressions Practice
1.
Without graphing each rational function below, predict whether its graph has a point of discontinuity and/or any horizontal or vertical asymptotes. State the related non-permissible values. a.
b.
c.
d.
2.
Solve each rational equation by graphing. Give the solution to the nearest tenth when necessary. Verify algebraically. a.
b.
3.
Match each function to its graph. Justify your choice. i.
Graph A
ii.
Graph B
iii.
Graph C
iv.
Graph D
a.
b.
c.
d.
4.
For the graph of each function below:
i.
Without graphing:
●
Determine the coordinates of any hole and the equation of any asymptotes. ●
Determine the domain. ii.
Use graphing technology to verify the characteristics and to explain the behavior of the graph near the non-permissible values. a.
b.
5.
Without using graphing technology, sketch a graph of each function. State the domain. a.
b.
a) b) c) d) 2. a) b) 3. a) Graph C b) Graph A c) Graph D d) Graph B 4) a) i) asymptotes ; domain b) i) asymptotes x=1; domain: 5) a) b)
Worksheet 2 – Rational Functions
Features of Rational Functions - Formative Self Test Complete each without a graphing calculator, then
use graphing calculator to check answers
Do as many as needed to feel comfortable with the topic.
1.)
Determine the location of any points of discontinuity, vertical, and/or horizontal asymptotes.
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2.)
Determine the x intercepts and y-intercepts (if any exist) of each of the following functions (by setting or )
3.)
State the domain of each of the following functions.