Unit 6 Mastery Check

Domain of $\frac{1}{x+5}$.

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Domain of $\frac{1}{x+5}$.

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Domain of $\frac{x-2}{x^2-9}$.

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Do numerator zeros restrict domain?

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Hole of $\frac{x^2-1}{x-1}$.

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Hole of $\frac{x^2-1}{x-1}$.

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Hole of $\frac{x^2+3x+2}{x+1}$.

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Can a function have two holes?

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VA of $\frac{3}{x-5}$.

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VA of $\frac{3}{x-5}$.

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VAs of $\frac{1}{x^2-9}$.

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Does fully cancelled zero create VA?

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HA of $\frac{1}{x+2}$.

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HA of $\frac{1}{x+2}$.

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HA of $\frac{3x^2+1}{x^2-4}$.

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Does $\frac{x^3+1}{x^2+1}$ have HA?

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Slant of $\frac{x^2+x+1}{x}$.

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Slant of $\frac{x^2+x+1}{x}$.

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Polynomial asymptote of $\frac{x^3+1}{x}$.

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When slant occurs.

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X-intercept of $\frac{x-5}{x+1}$.

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X-intercept of $\frac{x-5}{x+1}$.

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Y-intercept.

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Critical values of $\frac{x}{(x-2)(x+4)}$.

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Features of $\frac{1}{x-4}$.

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Features of $\frac{1}{x-4}$.

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Can HA be crossed?

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Can VA be crossed?

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Solve$$\frac{1}{x}=\frac{1}{4}$$

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Solve$$\frac{1}{x}=\frac{1}{4}$$

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Solve$$\frac{2}{x}=\frac{1}{x-3}$$

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X-intercept of $\frac{x-2}{x+3}$.

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Solve$$\frac{x-2}{x+5}<0$$

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Solve$$\frac{x-2}{x+5}<0$$

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Solve$$\frac{1}{x}<0$$

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Which endpoints may be included?

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