Unit 2 Review

Write cost for $\$9$ plus $\$2$ per movie.

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Units of $60$ in $d(t)=60t$ miles.

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Perimeter with width $5$ and length L.

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Horizontal axis for cost as function of hours.

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Explain why this conclusion is valid: $C(h)=18+7h$ dollars. Use the foundation problem as evidence: A rental costs $\$18$ plus $\$7$ per hour.

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Is $(1,2),(2,3),(1,4)$ a function?

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Is $y=x^2$ a function of $x$?

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Give a function not one-to-one.

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Why does a vertical line fail as a function of $x$?

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Explain why this conclusion is valid: Yes. Every input has one output. Use the foundation problem as evidence: Does $(0,3),(1,5),(2,5),(3,8)$ define a function?

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For $f(x)=4x-7,$ find $f(5)$.

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For $g(x)=x^2+1,$ find $g(-3)$.

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For $f(x)=x^2,$ solve $f(x)=16$.

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How solve $f(x)=0$ from a graph?

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Explain why this conclusion is valid: $14$. Use the foundation problem as evidence: For $f(x)=2x^2-3x,$ find $f(-2)$.

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Table $f=2x+1$ at $-1,0,1,2$.

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Cost $\$25$ plus $\$8$ per person.

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Best form for exact $f(37)$.

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Best form for turning points.

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Explain why this conclusion is valid: A linear candidate is $f(x)=3x+5$. Use the foundation problem as evidence: Values $5,8,11,14$ occur at $x=0,1,2,3$.

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Domain of $\frac{1}{x+4}$.

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Domain of $sqrt(2-x)$.

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Domain of $ln(x+3)$.

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Domain of $sqrt(x^2-9)$.

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Explain why this conclusion is valid: $x>1$. Use the foundation problem as evidence: Find domain of $\frac{ln(x-1)}{sqrt}(x+2)$.

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Physical domain of side length $s$.

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Domain of $32-seat$ class size.

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Classify household size.

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Define interpolation.

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Explain why this conclusion is valid: $n$ is an integer from $0$ through $240$. Use the foundation problem as evidence: A theater has capacity $240$ and $R(n)=12n$.

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Range greater than $4,$ not equal.

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Maximum y-intercepts for a function.

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Point for $f(2)=0$.

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Meaning bounded above.

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Explain why this conclusion is valid: Range $[-3,∞)$. Use the foundation problem as evidence: A graph has included minimum $-3$ and no upper bound.

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Write |x| piecewise.

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Meaning of overlapping intervals.

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Meaning of omitted boundary.

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Line style for excluded endpoint.

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Explain why this conclusion is valid: $-1,1,4$. Use the foundation problem as evidence: $f=x+2$ for $x<1$ and $x^2$ for $x\ge 1$; find $f(-3),f(1),f(2)$.

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Average rate of $2x+5$ from $1$ to $7$.

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Average rate of $x^2-3x$ from $2$ to $5$.

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Why $a\ne b$?

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Graph meaning.

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Explain why this conclusion is valid: $5$. Use the foundation problem as evidence: Find average rate of $x^2$ from $1$ to $4$.

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Define residual.

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Why inspect residual patterns?

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Give interpolation example.

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Give extrapolation example.

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Explain why this conclusion is valid: $C(h)=40+25h$. Use the foundation problem as evidence: Costs $65,90,115,140$ for $1-4$ hours.

The complete prompt remains readable and printable without JavaScript.