Rational Functions

Concept Quizzes

Square roots
Rational Functions Warmup
Rational Functions - Intercepts
Rational Equations
Approximation of Square Roots
Rational Functions - Asymptotes
Rational Functions Problem Solving
Graphing Rational Equations
Algebraic Expressions - Fractions

Challenge Quizzes

Rational Functions: Level 2 Challenges

Graphing Rational Equations

The graph of the rational function $y=\frac{ax-b}{-2x+c}$ is as shown above. If $x_1=5$ and $y_1=4,$ what is the value of $a+b+c ?$

5 2 4 3

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by Brilliant Staff

Which of the following functions represents the above graph?

y=\frac{x^2+3x-18}{x^2-9x+18}

y=\frac{x^2-7x+10}{x^2+3x-10}

y=\frac{x-5}{x+5}

y=\frac{x+6}{x-6}

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by Brilliant Staff

Which of the above graphs is represented by the function $y=\frac{-x+9}{x-14} ?$

(A) (B) (C) (D)

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by Brilliant Staff

Assuming that $a=6$ and $b=3,$ which of the following functions represents the above graph?

y=\frac{3x+4}{x-6}

y=\frac{3x+4}{x+6}

y=\frac{4x+4}{x-6}

y=\frac{-4x+4}{x-6}

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by Brilliant Staff

If the graphs of two functions $y=f(x)$ and $y=g(x)$ are as shown above, which of the following is the graph of the function $\displaystyle y=\frac{f(x)}{g(x)}?$

(A) (B) (C) (D)

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by Brilliant Staff

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