Analyzing the characteristics of a polynomial graph

The video tutorial covers the analysis of polynomial functions, focusing on end behavior, degree, zeros, domain, range, and relative extrema. It explains how to determine the end behavior of a function as x approaches positive or negative infinity, identify the degree and zeros by counting them, and calculate the domain and range. The tutorial also discusses finding relative minimum and maximum points, which are the turning points of the function.

What is the end behavior of a polynomial function as x approaches negative infinity?

• The function approaches positive infinity.

• The function approaches zero.

• The function approaches negative infinity.

• The function remains constant.

How can you determine if a polynomial function is of even degree?

• By checking if the function has an odd number of zeros.

• By checking if the function has an even number of zeros.

• By checking if the function has no turning points.

• By checking if the function has a constant term.

What is the smallest degree a polynomial function can have if it has three turning points?

• 5

• 2

• 3

• 4

What is the domain of a polynomial function?

• Only negative numbers

• Only positive numbers

• All real numbers

• Numbers between -1 and 1

What is the range of a polynomial function if its lowest point is -3?

• From negative infinity to -3

• From -3 to positive infinity

• From -3 to 0

• From 0 to positive infinity