Graphing the reciprocal function with a reflection

The video tutorial covers the reciprocal function, its graph, and the concept of asymptotes. It explains graph transformations, including compression, stretching, and reflection. The tutorial also demonstrates how to find X and Y intercepts algebraically and discusses the domain and range of functions. Finally, it provides techniques for graphing, focusing on vertical stretch and sketching.

What is the equation of the reciprocal function?

• y = x^2

• y = 1/x

• y = x + 1

• y = x - 1

What does a negative 'a' value indicate in function transformations?

• Reflection about the Y-axis

• Vertical stretch

• Horizontal shift

• Reflection about the X-axis

How do you find the X-intercept of a function?

• Set X to 0 and solve for Y

• Solve for X when Y is 1

• Set both X and Y to 0

• Set Y to 0 and solve for X

Why does the reciprocal function not have a Y-intercept?

• Because it is a linear function

• Because it is undefined at X = 0

• Because it crosses the X-axis

• Because it is a quadratic function

What is the domain of the reciprocal function?

• All positive numbers

• All real numbers

• All numbers except zero

• All negative numbers

How is the domain of the reciprocal function expressed using union notation?

• (-∞, 0) U (0, ∞)

• (-∞, 0)

• (-∞, ∞)

• (0, ∞)

What happens to a parabola when it undergoes a vertical stretch?

• It shifts to the left

• It shifts to the right

• It becomes narrower

• It becomes wider