Unit 5 Mastery Check

Parity of $x^6$.

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Parity of $x^6$.

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Domain of $x^-3$.

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Range of $\frac{1}{x}^2$.

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Degree of $5x^3-2x+8$.

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Degree of $5x^3-2x+8$.

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Leading term of $-4x^7+x^9-1$.

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Is $sqrt(x)+x$ polynomial?

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End behavior of $x^8-3x$.

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End behavior of $x^8-3x$.

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End behavior of $-x^4+2$.

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Can even degree have opposite ends?

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Zeros of $(x-5)(x+1)$.

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Zeros of $(x-5)(x+1)$.

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Factor for zero$$7$$

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Intercept for zero $-3$.

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Multiplicity of zero $4$ in $(x-4)^3$.

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Multiplicity of zero $4$ in $(x-4)^3$.

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Behavior multiplicity $2$.

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Does even multiplicity change sign?

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Y-intercept of $(x+1)(x-2)$.

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Y-intercept of $(x+1)(x-2)$.

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Sign for $x<-1$.

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Max turns degree $5$.

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Max turns degree $2$.

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Max turns degree $2$.

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Max turns degree $7$.

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Does every zero create a turn?

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Show $x^3-2$ root in $(1,2)$.

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Show $x^3-2$ root in $(1,2)$.

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Can double root show no sign change?

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Why continuity matters?

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Divide $x^2-9$ by $x-3$.

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Divide $x^2-9$ by $x-3$.

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$c=-3$ corresponds to divisor.

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Remainder degree condition.

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