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Solving Rational Equations and Graphing Rational Functions

Authored by Kate Baker

Mathematics

9th - 12th Grade

Used 17+ times

Solving Rational Equations and Graphing Rational Functions
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9 questions

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1.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve for x:   x+1x+5+18x2+8x+15=9x+3\frac{x+1}{x+5}+\frac{18}{x^2+8x+15}=\frac{9}{x+3}  

2.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

What is the extraneous solution?   x+1x+5+18x2+8x+15=9x+3\frac{x+1}{x+5}+\frac{18}{x^2+8x+15}=\frac{9}{x+3}  

3.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve for x:   2x211x1=12\frac{2}{x^2-1}-\frac{1}{x-1}=\frac{1}{2}  

4.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

What is the extraneous solution?   2x211x1=12\frac{2}{x^2-1}-\frac{1}{x-1}=\frac{1}{2}  

5.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

What is the equation of the vertical asymptote? f(x)=2x24x30x23x10f\left(x\right)=\frac{2x^2-4x-30}{x^2-3x-10}  

6.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

What is the location of the hole? f(x)=2x24x30x23x10f\left(x\right)=\frac{2x^2-4x-30}{x^2-3x-10}  

7.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

What is the y-intercept? f(x)=2x24x30x23x10f\left(x\right)=\frac{2x^2-4x-30}{x^2-3x-10}  

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