Graphs of Power Functions

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

• positive infinity

• negative infinity

• zero

Is the following function continuous?

f(x) = 4x^-5

• yes

• no

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

Tags

CCSS.HSF-IF.C.7B

Which function increases throughout

the interval -2 < x < 2?

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

• -∞ < x < -1

• -1 < x < 1

• -2 < x < 2

• 1 < x < ∞

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) = ∞

Is 5ab² a monomial?

• Yes
• No

Is √x a monomial?

• Yes
• No