End Behavior Analysis with Limit Notation

What is the first step in determining the end behavior of a polynomial function?

• Focus on the highest degree term

• Check the y-intercept

• Look at the constant term

• Evaluate the function at x = 0

If the leading coefficient of a polynomial is negative, what can be inferred about the right end behavior?

• It oscillates

• It goes down to negative infinity

• It goes up to positive infinity

• It remains constant

How does an even degree polynomial behave on the left end compared to the right end?

• It oscillates

• It behaves oppositely to the right end

• It behaves the same as the right end

• It remains constant

What happens to the end behavior if the polynomial has an odd degree?

• The ends remain constant

• Both ends go up

• The ends go in opposite directions

• Both ends go down

Why can lower degree terms be ignored when determining the end behavior of a polynomial?

• They grow slower than the highest degree term

• They cancel out

• They are always zero

• They grow faster than the highest degree term

What is the value of (10^4 * -3)?

• 3000

• 30000

• -3000

• -30000

In limit notation, what does the expression 'lim as x approaches negative infinity of f(x)' represent?

• The y-values as x goes to positive infinity

• The x-values as y goes to negative infinity

• The y-values as x goes to negative infinity

• The x-values as y goes to positive infinity

What does the arrow in limit notation indicate?

• The direction of the x-values

• The constant term

• The direction of the y-values

• The rate of change

If the leading coefficient is positive and the degree is odd, what is the end behavior as x approaches positive infinity?

• f(x) remains constant

• f(x) approaches positive infinity

• f(x) approaches negative infinity

• f(x) oscillates

What is the end behavior of a polynomial with a positive leading coefficient and an odd degree as x approaches negative infinity?

• f(x) approaches positive infinity

• f(x) approaches negative infinity

• f(x) remains constant

• f(x) oscillates