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RATIONAL FUNCTIONS & EXPRESSIONS

RATIONAL FUNCTIONS & EXPRESSIONS

Assessment

Presentation

Mathematics

10th - 12th Grade

Easy

CCSS
HSA.REI.A.2, HSF-IF.C.7D, HSF.BF.B.3

Standards-aligned

Created by

Anonymous Anonymous

Used 195+ times

FREE Resource

1 Slide • 8 Questions

1

RATIONAL FUNCTIONS & EXPRESSIONS

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2

Open Ended

 Solve:   x12x4+x+23x=1Solve:\ \ \ \frac{x-1}{2x-4}+\frac{x+2}{3x}=1  

3

Open Ended

 Solve:   4xx+4+3=2xSolve:\ \ \ \frac{4x}{x+4}+3=\frac{2}{x}  

4

Open Ended

 Find the solution(s):  x21x1=2Find\ the\ solution\left(s\right):\ \ \frac{x^2-1}{x-1}=-2  



5

Open Ended

 f(x)=2x6x29f\left(x\right)=\frac{2x-6}{x^2-9}  

For the given rational function find:
1. Domain
2. Range
3. X-intercept(s)
4. Y-intercept
5. Vertical Asymptote
6. Horizontal Asymptote
7. Removable Discontinuities
8. Sketch it.

6

Open Ended

List the transformations performed over the parent rational function f(x)=1/x to produce g(x)=-3f(x+1)-2


1.

2.

3.

4.

7

Open Ended

 f(x)=x2+2xx22x8f\left(x\right)=\frac{x^2+2x}{x^2-2x-8}  

1. Domain

2. Range

3. Vertical Asymptote(s)

4. Horizontal Asymptote

5. X and Y intercepts

6. Holes

7. Sketch and End Behavior

8

Fill in the Blank

 Given  f(x)=6x25x+93x1Given\ \ f\left(x\right)=\frac{6x^2-5x+9}{3x-1}  
Find:
1. Removable Discontinuities

2. Non removable Discontinuities

3. Oblique Asymptote

4. End Behavior

9

Open Ended

 Find: limx3=           and     limx3+=Find:\ \lim_{x\rightarrow3^-}=\ \ \ \ \ \ \ \ \ \ \ and\ \ \ \ \ \lim_{x\rightarrow3^+}=             if      f(x)=4x12x29\ \ \ \ \ \ \ \ \ \ if\ \ \ \ \ \ f\left(x\right)=\frac{4x-12}{x^2-9}   



1. Left Side Behavior when approaching 3 from the left




2. Right Side Behavior when approaching 3 from the right

RATIONAL FUNCTIONS & EXPRESSIONS

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