Finding Intercepts of Polynomial Functions

The video tutorial explains how to find the X and Y intercepts of a polynomial function given in factored form. It begins with a brief review of the concepts of intercepts, then demonstrates how to calculate the X intercepts by setting Y to zero and solving for X. The tutorial continues by finding the Y intercept by setting X to zero and solving for Y. Finally, the video verifies the results using a graph, confirming the accuracy of the intercepts identified.

What is the first step in finding the x-intercepts of a polynomial function?

• Graph the function

• Set both x and y to 0

• Set x to 0 and solve for y

• Set y to 0 and solve for x

Tags

CCSS.HSF-IF.C.7C

Which of the following represents the x-intercept of a polynomial function?

• (0, y)

• (0, 0)

• (x, y)

• (x, 0)

What is the significance of setting y to 0 in the context of finding intercepts?

• It helps find the y-intercept

• It helps find the x-intercepts

• It determines the slope

• It finds the vertex

Tags

CCSS.HSF-IF.C.7C

If a factor of a polynomial is (x - 2), what is one of the x-intercepts?

• -2

• 0

• 4

• 2

How do you express the x-intercept of 4 as an ordered pair?

• (0, 0)

• (0, 4)

• (4, 0)

• (4, 4)

Tags

CCSS.HSF-IF.C.7C

Which x-intercept is not part of the polynomial function discussed?

• 4

• -3

• 2

• 0

What is the first step in finding the y-intercept of a polynomial function?

• Set both x and y to 0

• Graph the function

• Set x to 0 and solve for y

• Set y to 0 and solve for x

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

• 24

• 48

• 12

• 0

How can the y-intercept be expressed as an ordered pair?

• (24, 24)

• (24, 0)

• (0, 0)

• (0, 24)

What does the graph of the polynomial function verify?

• The function is quadratic

• The function is linear

• The x-intercepts and y-intercept are correct

• The function has no intercepts