Understanding Polynomial Functions

This video tutorial explains how to analyze a polynomial function given in factored form. It covers finding the y-intercept and x-intercepts (real zeros) and describes the end behavior of the function. The tutorial demonstrates these concepts using a quadratic function, showing how to set up equations to find intercepts and how to graph the function to verify end behavior. The leading term of the polynomial is identified to predict the graph's shape, and the function's behavior as x approaches positive and negative infinity is discussed.

What is the degree of the polynomial function discussed in the video?

• Degree 4

• Degree 3

• Degree 2

• Degree 1

How do you find the y-intercept of a polynomial function?

• Set both x and y to 0

• Set x to 0 and solve for y

• Set x to 1 and solve for y

• Set y to 0 and solve for x

What is the y-intercept of the polynomial function in the video?

• 0

• 2

• -8

• 4

How do you find the x-intercepts of a polynomial function?

• Set y to 0 and solve for x

• Set y to 1 and solve for x

• Set x to 0 and solve for y

• Set both x and y to 0

What are the x-intercepts of the polynomial function in the video?

• 2 and -4

• 1 and -1

• 0 and 8

• -2 and 4

What is the leading term of the polynomial function discussed?

• x^4

• x^3

• x^2

• x

How does the graph of the polynomial function behave as x approaches positive infinity?

• Y values approach negative infinity

• Y values approach zero

• Y values remain constant

• Y values approach positive infinity

What shape does the graph of the polynomial function take?

• Line

• Circle

• Parabola

• Hyperbola

As x approaches negative infinity, what happens to the y values of the polynomial function?

• Y values approach zero

• Y values approach negative infinity

• Y values approach positive infinity

• Y values remain constant

What tool is used to verify the end behavior of the polynomial function?

• Graph

• Calculator

• Table

• Equation