Key Features of Functions in Algebra II

What is the domain of the function y = x^2 - 3 in set builder notation?

• x | x is a real number

• y | y is a real number

• y | y is greater than or equal to -3

• x | x is greater than or equal to -3

In interval notation, how is the range of y = x^2 - 3 represented?

• [-3, ∞)

• (-∞, ∞)

• (-3, ∞)

• (-∞, -3]

What is the domain of the function f(x) = 400x for an air tanker dropping water?

• (-∞, ∞)

• [0, ∞)

• [0, 20]

• (-∞, 20]

What is the range of the function f(x) = 400x for an air tanker dropping water?

• (-∞, 8000]

• [0, 8000]

• [0, ∞)

• (-∞, ∞)

What does the x-intercept of the function y = 16 - 0.05x represent in the context of a car's journey?

• The car's fuel efficiency

• The distance the car can travel before running out of gas

• The maximum speed of the car

• The car's starting fuel

How do you find the y-intercept of the function y = |x - 3|?

• Find the maximum value of x

• Set y to 0 and solve for x

• Set x to 0 and solve for y

• Find the minimum value of y

For what intervals is the function f(x) = x^2 - 9 positive?

• (-∞, -3) and (3, ∞)

• (-3, 3)

• (-∞, ∞)

• (-3, ∞)

For what intervals is the function h(x) = 2x + 10 positive?

• (-5, ∞)

• (-∞, -5)

• (-∞, ∞)

• (0, ∞)

What is the average rate of change of the function y = f(x) over the interval [a, b]?

• (f(b) - f(a)) / (b - a)

• (b - a) / (f(b) - f(a))

• (a - b) / (f(a) - f(b))

• (f(a) - f(b)) / (a - b)

What does a constant average rate of change indicate about a function?

• The function is non-linear

• The function is linear

• The function has no intercepts

• The function is undefined