Power Function Mastery

Graph the power function f(x) = x^2. What is the shape of the graph?

• The graph is a straight line.

• The graph is a sinusoidal curve.

• The graph is a circle.

• The graph is a parabola.

What is the end behavior of the power function f(x) = x^3 as x approaches positive infinity?

• The power function f(x) = x^3 will approach negative infinity as x approaches positive infinity.

• The power function f(x) = x^3 will approach positive infinity as x approaches positive infinity.

• The power function f(x) = x^3 will approach zero as x approaches positive infinity.

• The power function f(x) = x^3 will oscillate between positive and negative infinity as x approaches positive infinity.

Simplify the expression (2x^3)^2.

• 16x^6

• 8x^6

• 4x^6

• 64x^6

If g(x) = 4x^5, what is g(2)?

• 32

• 16

• 128

• 64

Determine the x-intercept of the power function h(x) = x^4 - 16.

• x = -2, 2

• x = -4, 4

• x = -3, 3

• x = -1, 1

What is the degree of the power function f(x) = 5x^8?

• 8

• 3

• 10

• 5

Find the domain of the power function g(x) = x^2.

• (-∞, 0]

• (-∞, +∞)

• [0, 0]

• [0, +∞)

If p(x) = 3x^4 - 2x^3, what is p'(x)?

• p'(x) = 12x^3 - 6x^2

• p'(x) = 9x^4 - 4x^3

• p'(x) = 5x^4 - 2x^3

• p'(x) = 6x^3 - 3x^2

Solve the inequality x^2 > 9.

• x < -3 or x > 3

• x < -3 and x > 3

• x < -3 or x > 0

• x < 0 or x > 3

Evaluate the limit lim(x->2) (x^2 - 4) / (x - 2).

• 8

• 4

• 6

• 0