power functions

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

• positive infinity

• negative infinity

• zero

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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) = ∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the end behavior of

x³ - 5x + 3

• down, up

• up, up

• down, down

• up, down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is a possible equation for the sketch graph?
Select one of the equations below

• $y=x^2+4$

• $y=x^3$

• $y=2^x$

• $y=x^2-4$

• $y=\frac{1}{x^2}$

What is a possible equation for the sketch graph?
Select one of the equations below

•  $y=x^3$  
  

• $y=\frac{1}{x}$

•  $y=-x^3$  
  

•  $y=3x^2$   

• $y=\frac{4}{x^2}$

• 
• 
• 
• 

• 
• 
• 
•