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A Table of Values Is Given For Y1=f(x)Y _ { 1 } = f ( x )

question 34

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A table of values is given for Y1=f(x) Y _ { 1 } = f ( x ) ) . Determine whether the intermediate value theorem guarantees
that the function has a zero on the given interval.
- Y1=17x439x3+186x2+298x+398[2,1]\mathrm{Y}_{1}=17 x^{4}-39 x^{3}+186 x^{2}+298 x+398 \quad[-2,-1]
XY149,03033,60821,13013420398186021,69833,290X=4\begin{array}{r|r}\mathrm{X} & \mathrm{Y}_{1} \\\hline-4 & 9,030 \\-3 & 3,608 \\-2 & 1,130 \\-1 & 342 \\0 & 398 \\1 & 860 \\2 & 1,698 \\3 & 3,290 \\\hline \mathrm{X}=-4 &\end{array}

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Definitions:

Price Ceiling

A government-imposed limit on how high the price of a product can be charged in the market, usually intended to protect consumers from high prices.

Market-Clearing Price

The price at which the market is in equilibrium, that is, the quantity of a good or service demanded equals the quantity of that good or service supplied; also referred to as the equilibrium price.

ATM Transaction

A financial operation, such as withdrawing or depositing money, conducted through an Automated Teller Machine.

Total Surplus

The sum of consumer surplus and producer surplus, representing the total net benefit to society from the production and consumption of goods or services.

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