Basic Power Functions

What is the end behavior of f(x) = 3x⁶ as x goes to negative infinity?

• positive infinity

• negative infinity

• zero

What is the range of f(x) = -3x^-7?

• y>0

• y<0

• (negative infinity, positive infinity)

• (-infinity, 0) U (0, +infinity)

The graph most accurately represents which of the following functions?

• y=∛x

• y = x²

• y =x³

• y = 1 ∕ x

Name the interval(s) where the function is decreasing? Click all that apply.

• -∞ < x < -1

• -1 < x < 1

• -2 < x < 2

• 1 < x < ∞

What is the range of f(x) = 4x^-2?

• (-infinity, +infinity)

• (0, +infinity)

• (-infinity, 0)

• (-infinity, 0) U (0, +infinity)

for the power function: f(x) = kx^a

• k = constant          a = power 

• a = constant          k = power 

• x = constant          a = power 

• f(x) = constant       k = power

What is the range of f(x) = -3x^-6?

• (-infinity, +infinity)

• y>0

• y<0

• (-infinity, 0) U (0, +infinity)

Which statement is true about the end behavior of the function y = -3x²?

• As x approaches negative infinity, y approaches 0.

• As x approaches positive infinity, y approaches negative infinity.

• As x approaches positive infinity, y approaches 0.

• As x approaches negative infinity, y approaches positive infinity.

Describe the end behavior of the function.

• lim x→ ∞, f(x) = ∞
  lim x → -∞, f(x) = -∞

• lim x→ ∞, f(x) = -∞

  lim x → -∞, f(x) = -∞

• lim x→ ∞, f(x) = -∞

  lim x → -∞, f(x) = +∞

• lim x→ ∞, f(x) = ∞

  lim x → -∞, f(x) = ∞

Which is most likely the function of the graph shown.

• f(x) = x^–1

• f(x) = ∛x

• f(x) = ln x

• f(x) = csc x