Quiz on Power and Radical Functions

What is a power function?

• A function that is always increasing

• A function that has a degree of zero

• A function that can be written as f(x) = a

• A function of the form f(x) = ax^n

Which of the following describes a monomial function?

• A function that can be written as f(x) = ax^n

• A function that is always decreasing

• A function with multiple variables

• A function that cannot be graphed

What is the domain of the function f(x) = 12x^4?

• [0, ∞)

• (0, ∞)

• (−∞, ∞)

• (-1, 1)

For the function f(x) = -x^7, what is the range?

• (0, 1)

• [0, ∞)

• (−∞, ∞)

• [−1, 1]

What is the end behavior of the function f(x) = 3x^6?

• lim x→−∞ f(x) = 0 and lim x→∞ f(x) = 0

• lim x→−∞ f(x) = ∞ and lim x→∞ f(x) = ∞

• lim x→−∞ f(x) = 0 and lim x→∞ f(x) = ∞

• lim x→−∞ f(x) = −∞ and lim x→∞ f(x) = ∞

What is an extraneous solution?

• A solution that is always positive

• A solution that does not satisfy the original equation

• A solution that is derived from a quadratic equation

• A solution that has no real value

What is the continuity of the function f(x) = 3x^−2?

• Discontinuous everywhere

• Continuous on [0, ∞)

• Continuous on (−∞, ∞)

• Infinite discontinuity at x=0

For the function f(x) = 6x^−2, what is the range?

• [0, ∞)

• (−∞, ∞)

• (−∞, 0)

• (0, ∞)

What is the domain of the function f(x) = x^(1/2)?

• [0, ∞)

• (−∞, ∞)

• (−∞, 0)

• [−1, 1]

What is the end behavior of the function f(x) = 2x^(3/4)?

• lim x→−∞ f(x) = −∞

• lim x→∞ f(x) = 0

• lim x→−∞ f(x) = 0

• lim x→∞ f(x) = ∞