Determining X and Y Intercepts of Rational Functions

The video tutorial explains how to find x and y intercepts of rational functions. It begins with a basic introduction to intercepts, followed by detailed steps to find y-intercepts and x-intercepts. The tutorial covers special cases, patterns, and advanced examples, emphasizing the importance of understanding the concepts rather than just memorizing shortcuts. The video concludes with a summary of the key points discussed.

What is the y-intercept of the function 2/3x - 2?

• -2

• 3

• 0

• 2

When finding the x-intercept of a function, what value is y set to?

• x

• -1

• 1

• 0

What is the x-intercept of the function 2/3x - 2?

• -2

• 0

• 2

• 3

What happens when you set x to 0 in the function f(x) = (x + 2) / (x - 2)?

• f(x) = 2

• f(x) = -1

• f(x) = 1

• f(x) = 0

What does it mean if a function has no y-intercept?

• The function has no solution

• The function is undefined

• The graph does not cross the x-axis

• The graph does not cross the y-axis

What is the y-intercept of the function f(x) = 2 / (x^3 - x)?

• -2

• Undefined

• 2

• 0

What is the x-intercept of the function f(x) = x^2 - 2x + 3?

• 3

• None

• 1

• 0

How many x-intercepts does the function f(x) = x^3 - 4x have?

• 1

• None

• 2

• 3

What is the y-intercept of the function f(x) = -2 / 8?

• 1/4

• 0

• -2

• -1/4

What are the x-intercepts of the function f(x) = x^2 - 16?

• -4 and 0

• -4 and 4

• None

• 0 and 4