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Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 5 x ^ { 5 } - 3 x ^ { 3 } + 8 x ^ { 2 } - 1 ; [ - 2 , - 1 ]$

question 284

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $f ( x ) = 5 x ^ { 5 } - 3 x ^ { 3 } + 8 x ^ { 2 } - 1 ; [ - 2 , - 1 ]$

Recognize the role of rationing mechanisms (such as ration coupons and queuing) in scenarios of excess demand or supply.

Analyze the impact of government-imposed price controls on consumer and producer behavior.

Explain the concept of illegal markets (black markets) and their relation to price controls.

Understand how quantity demanded and quantity supplied are affected by changes in price controls.

Definitions:

Milk

A nutrient-rich liquid food produced by the mammary glands of mammals, primarily consumed by humans as a source of nutrition.

Constant Rate

A situation or process that occurs at an unchanging, steady pace over a particular period of time.

Bread

A staple food made from a dough of flour and water, usually by baking.

Production Possibilities Frontier

A curve depicting all maximum output possibilities for two goods, given a set of inputs, representing the trade-off between the two goods.

Use the Intermediate Value Theorem to Determine Whether the Polynomial f(x)=5x5−3x3+8x2−1;[−2,−1]f ( x ) = 5 x ^ { 5 } - 3 x ^ { 3 } + 8 x ^ { 2 } - 1 ; [ - 2 , - 1 ]f(x)=5x5−3x3+8x2−1;[−2,−1]

Definitions:

Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 5 x ^ { 5 } - 3 x ^ { 3 } + 8 x ^ { 2 } - 1 ; [ - 2 , - 1 ]$