Exploring Inverse Functions through Tables and Graphs

The video tutorial explains how to find inverse functions from tables, ordered pairs, and graphs. It begins with an introduction to inverse functions and then demonstrates how to switch X and Y values in tables and ordered pairs to find inverses. The tutorial also covers graphing inverse functions by reflecting them across the line y=x. Additionally, it discusses finding inverses of parabolas and other functions, emphasizing the importance of maintaining the shape and symmetry of the original function.

What is the first step in finding the inverse of a table?

• Add 1 to each value

• Switch the x and y values

• Subtract 1 from each value

• Multiply each value by 2

When finding the inverse of ordered pairs, what should you do with the coordinates?

• Add the coordinates together

• Switch the x and y coordinates

• Multiply the coordinates

• Divide the coordinates

How do you reflect a graph to find its inverse?

• Translate it down by 1 unit

• Translate it up by 1 unit

• Rotate it 90 degrees

• Reflect it across the line y = x

What is the line of reflection for graphing inverses?

• y = -x

• y = x

• y = 0

• y = 2x

What is the inverse of the point (3, 1) on a graph?

• (1, -3)

• (3, -1)

• (-1, 3)

• (1, 3)

If a point on a graph is (2, 5), what is its inverse?

• (5, -2)

• (5, 2)

• (2, -5)

• (-5, 2)

What is the inverse of the function y = √x?

• y = x^2

• y = 1/x

• y = x + 1

• y = x - 1

When graphing the inverse of y = √x, what is the first point you plot?

• (4, 2)

• (0, 0)

• (2, 4)

• (1, 1)

What is the inverse of the function y = x^2 + 2?

• y = x^2 + 1

• y = √(x + 2)

• y = x^2 - 2

• y = √(x - 2)

If a point on a graph is (0, 2), what is its inverse?

• (2, 2)

• (2, 0)

• (0, -2)

• (-2, 0)