Exploring End Behavior in Functions

What is the end behavior of an odd function with a positive leading coefficient?

• Falls on the left and rises on the right

• Rises on the left and falls on the right

• Falls on both ends

• Rises on both ends

How does the end behavior of an odd function with a negative leading coefficient differ from one with a positive leading coefficient?

• It falls on the left and rises on the right

• It rises on both ends

• It falls on both ends

• It rises on the left and falls on the right

What is the most basic even function?

• y = x

• y = x^2

• y = x^4

• y = x^3

How does the end behavior of an even function with a positive leading coefficient appear?

• Rises on the left and falls on the right

• Falls on the left and rises on the right

• Rises on both ends

• Falls on both ends

What happens to the end behavior of an even function when the leading coefficient is negative?

• Rises on both ends

• Falls on both ends

• Rises on the left and falls on the right

• Falls on the left and rises on the right

How do you write the end behavior as x approaches negative infinity?

• As x approaches positive infinity

• As y approaches negative infinity

• As x approaches negative infinity

• As y approaches positive infinity

In the notation for end behavior, what does the arrow represent?

• Subtraction

• Approaches

• Equals

• Addition

For the function y = 3x^6 + 2x^4 - 7, what is the end behavior?

• Falls on both ends

• Rises on both ends

• Falls on the left and rises on the right

• Rises on the left and falls on the right

What is the degree of the function y = 3x^6 + 2x^4 - 7?

• 4

• 5

• 6

• 7

For the function f(x) = -8x^5 + 14x^3, what is the end behavior?

• Rises on the left and falls on the right

• Falls on the left and rises on the right

• Falls on both ends

• Rises on both ends