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Consider a Continuous Function with the Following Properties $f(0)=3$ $\left|f^{\prime}(x)\right|<0.5$ $f^{\prime \prime}(x)<0$

question 54

Multiple Choice

Consider a continuous function with the following properties: $Consider a continuous function with the following properties: f(0) =3 \left|f^{\prime}(x) \right|<0.5 f^{\prime \prime}(x) <0 for x<0 f^{\prime}(1) =0 . Which of the following are inconsistent with these four conditions? A) \lim _{x \rightarrow-\infty} f(x) =0 B) f(1) = 5 C) f^{\prime \prime}(1) =0$ $f(0) =3$ $Consider a continuous function with the following properties: f(0) =3 \left|f^{\prime}(x) \right|<0.5 f^{\prime \prime}(x) <0 for x<0 f^{\prime}(1) =0 . Which of the following are inconsistent with these four conditions? A) \lim _{x \rightarrow-\infty} f(x) =0 B) f(1) = 5 C) f^{\prime \prime}(1) =0$ $\left|f^{\prime}(x) \right|<0.5$ $Consider a continuous function with the following properties: f(0) =3 \left|f^{\prime}(x) \right|<0.5 f^{\prime \prime}(x) <0 for x<0 f^{\prime}(1) =0 . Which of the following are inconsistent with these four conditions? A) \lim _{x \rightarrow-\infty} f(x) =0 B) f(1) = 5 C) f^{\prime \prime}(1) =0$ $f^{\prime \prime}(x) <0$ for $x<0$ $Consider a continuous function with the following properties: f(0) =3 \left|f^{\prime}(x) \right|<0.5 f^{\prime \prime}(x) <0 for x<0 f^{\prime}(1) =0 . Which of the following are inconsistent with these four conditions? A) \lim _{x \rightarrow-\infty} f(x) =0 B) f(1) = 5 C) f^{\prime \prime}(1) =0$ $f^{\prime}(1) =0$ . Which of the following are inconsistent with these four conditions?

Definitions:

Central Bank

The primary financial institution of a country, responsible for regulating the money supply, issuing currency, and managing the nation's monetary policy.

Reserves

Reserves are funds or materials set aside or saved for future use or to cover unexpected emergencies, often used in financial, resource, or energy sectors.

Equilibrium Exchange Rate

The exchange rate at which the demand for a currency is exactly equal to its supply in the foreign exchange market.

Purchasing Power Parity Theory

An economic theory that compares different countries' currencies through a "basket of goods" approach to determine relative currency values.

Consider a Continuous Function with the Following Properties f(0)=3f(0)=3f(0)=3 ∣f′(x)∣<0.5\left|f^{\prime}(x)\right|<0.5∣f′(x)∣<0.5 f′′(x)<0f^{\prime \prime}(x)<0f′′(x)<0

Definitions:

Consider a Continuous Function with the Following Properties $f(0)=3$ $\left|f^{\prime}(x)\right|<0.5$ $f^{\prime \prime}(x)<0$