Power Functions w/ Rational Exp. Graphing Polynomial Function

What is the x-intercept and y-intercept of y= 1/2x^1/3?

• (0,0)

• x-intercept (1, 0)

  y-intercept (0, 1)

• x-intercept (-1, 0)

  y-intercept (0, -1)

What is the end-behavior of the function 
y = x⁶ - 7x⁵ + 7x - 9

• as x-> -∞  f(x) -> ∞
   as x-> ∞  f(x) -> -∞
• as x-> -∞ f(x) -> ∞
   as x-> ∞  f(x) -> ∞
• as x->-∞ f(x) -> -∞
   as x-> ∞   f(x) -> ∞
• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

What is the end-behavior of the function 
y = -x³ + 6x² + 7x

• as x-> -∞  f(x) -> ∞
   as x-> ∞  f(x) -> -∞
• as x-> -∞ f(x) -> ∞
   as x-> ∞  f(x) -> ∞
• as x->-∞ f(x) -> -∞
   as x-> ∞   f(x) -> ∞
• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

What is the leading coefficient?

• Positive 
• Negative

Describe the end behavior of
f(x) = 2x² + 6x⁵ + 10x

• Left side:  Rises
  Right side: Rises
• Left side: Falls
  Right side: Rises
• Left side:Rises
  Right side: Falls
• Left side: Falls
  Right side: Falls