EOC Review Portfolio

Consider the following polynomial functions: f(a) = (2a – 7 + a^2) and g(a) = (5 – a).

Which of the following statements about the polynomial functions are true? Select all that apply.

• The expression that represents the sum of the polynomials is a first-degree polynomial.

• The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

• The sum of f(a) and g(a) can be represented by the expression a^2 + a – 2.

• The difference of f(a) and g(a) can be represented by the expression a^2 + a – 12.

• The product of f(a) and g(a) can be represented by the expression –a^3 + 3a^2 + 17a – 35.

Which of the following statements about closure is NOT true?

• Polynomials are closed under addition.

• Polynomials are closed under subtraction.

• Polynomials are closed under multiplication.

• Polynomials are closed under division.

Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.

A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.

What type of function would best model this situation? Explain your answer.

A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.

Write the equation that models this situation.

A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.

Sketch the graph that models the function.

A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.

Part D: Write an equation that would represent the number of seconds it took the skydiver to reach a height of 400 meters and use the equation to solve for that time.

A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.

Part E: What is an appropriate domain for the situation.

• 0 ≤ x ≤ 44.7

• 0 ≤ x ≤ 760

• 0 ≤ y ≤ 44.7

• 0 ≤ y ≤ 760

Elias tossed a ball into the air. The following table represents the ball's height with respect to time, where y represents the ball's height, in feet, and x represents the number of seconds after the ball was tossed.

Sketch the graph of the function.

Elias tossed a ball into the air. The following table represents the ball's height with respect to time, where y represents the ball's height, in feet, and x represents the number of seconds after the ball was tossed.

Part B: What type of function would best model this situation? Explain your answer.