This math topic focuses on determining the domain of functions where the numerators are integers and the denominators are quadratic expressions, some having real roots. It involves representing the domain visually using number lines. The problems require analyzing the quadratic denominator to establish where the function is defined, excluding points where the denominator equals zero. Through these problems, learners practice identifying and visualizing domains of rational functions, enhancing their understanding of function behavior and graphing skills.

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Function Domain - Fraction Integer over Quadratic (Real Roots) to Number Line

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What number line shows the domain of this function?

f(x)=55x2+5x0f(x) = \frac{5}{-5x^2+5x-0}

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