Unit 7 Review

Classify $3,8,13,18$.

The complete prompt remains readable and printable without JavaScript.

Classify $2,6,18,54$.

The complete prompt remains readable and printable without JavaScript.

Multiplier for $7\%$ growth.

The complete prompt remains readable and printable without JavaScript.

Multiplier for $18\%$ decay.

The complete prompt remains readable and printable without JavaScript.

Rate for base $1.18$.

The complete prompt remains readable and printable without JavaScript.

Rate for base $0.64$.

The complete prompt remains readable and printable without JavaScript.

Domain of $5(0.4)^x$.

The complete prompt remains readable and printable without JavaScript.

Explain why this conclusion is valid: Initial $1200$ and $4\%$ growth per year. Use the foundation problem as evidence: Interpret $1200(1.04)^t$.

The complete prompt remains readable and printable without JavaScript.

HA of $4^x+3$.

The complete prompt remains readable and printable without JavaScript.

Range of $-2^x+1$.

The complete prompt remains readable and printable without JavaScript.

Does horizontal shift move HA?

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Explain why this conclusion is valid: HA $y=4,$ range $(-∞,4),$ point $(1,1)$. Use the foundation problem as evidence: Analyze $-3\cdot 2^(x-1)+4$.

The complete prompt remains readable and printable without JavaScript.

$1200$ grows $6\%$.

The complete prompt remains readable and printable without JavaScript.

$900$ decays $4\%$.

The complete prompt remains readable and printable without JavaScript.

After one half-life.

The complete prompt remains readable and printable without JavaScript.

Explain why this conclusion is valid: $A(t)=240(\frac{1}{2})^(\frac{t}{6})$. Use the foundation problem as evidence: $240$ mg with half-life $6$ hours.

The complete prompt remains readable and printable without JavaScript.

Formula at $5\%$ annual.

The complete prompt remains readable and printable without JavaScript.

Periods in $7$ years monthly.

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Monthly rate from $9\%$ nominal.

The complete prompt remains readable and printable without JavaScript.

Explain why this conclusion is valid: $A=2000(1.005)^36\approx 2393.36$. Use the foundation problem as evidence: $\$2000$ at $6\%$ monthly for $3$ years.

The complete prompt remains readable and printable without JavaScript.

Initial value of $7e^(3t)$.

The complete prompt remains readable and printable without JavaScript.

Approximate $e$.

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Continuous compound formula.

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Explain why this conclusion is valid: Continuous decay with one-unit multiplier $e^-0.3\approx 0.7408$. Use the foundation problem as evidence: Interpret $80e^(-0.3t)$.

The complete prompt remains readable and printable without JavaScript.

Interpret $b=0.81$.

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Good residual pattern.

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Can high R-squared prove causation?

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Meaning of K.

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Output at inflection.

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$P(0)$ for $\frac{900}{1+8e^-t}$.

The complete prompt remains readable and printable without JavaScript.

Explain why this conclusion is valid: $K=1000$ and $P(0)=100$. Use the foundation problem as evidence: $P=\frac{1000}{1+9e^(-0.4t)}$.

The complete prompt remains readable and printable without JavaScript.

$$log_10(1000)$$

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$$log_2(1)$$

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Domain of log_b $x$.

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Explain why this conclusion is valid: $-3$. Use the foundation problem as evidence: Evaluate $log_3(\frac{1}{27})$.

The complete prompt remains readable and printable without JavaScript.

Domain $ln(x-7)$.

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VA $log_2(x+4)$.

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Range of $4lnx+8$.

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Explain why this conclusion is valid: Domain $x<2$ and VA $x=2$. Use the foundation problem as evidence: Analyze $log_3(4-2x)$.

The complete prompt remains readable and printable without JavaScript.

Expand log_b(xy).

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Condense $3lnx-lny$.

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Is $log(x+2)=logx+log2$?

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Explain why this conclusion is valid: $log_b5+3log_bx-log_by$. Use the foundation problem as evidence: Expand $log_b(\frac{5x^3}{y})$.

The complete prompt remains readable and printable without JavaScript.

Solve$$2^x=32$$

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Solve$$e^(3x)=7$$

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Can $2^x=-4$ have real solution?

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Explain why this conclusion is valid: $x=\frac{ln10}{ln}3\approx 2.096$. Use the foundation problem as evidence: Solve $3^x=10$.

The complete prompt remains readable and printable without JavaScript.

Solve$$ln(x-2)=0$$

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Factor for $+1$ on $base-10$ log scale.

The complete prompt remains readable and printable without JavaScript.

General time in $A=A0b^t$.

The complete prompt remains readable and printable without JavaScript.