Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the concept of functions, focusing on how equations can represent functions. It explains the relationship between inputs (x-values) and outputs (y-values), and how these can be visualized as ordered pairs on a graph. The tutorial includes examples of solving equations and graphing them, emphasizing the concepts of domain and range. Students are encouraged to practice with provided exercises to reinforce their understanding.

What is the term used for the x-value in a function?

• Range

• Independent variable

• Output

• Dependent variable

In the equation y = x + 4, what is the y-value when x = -5?

• -9

• -5

• -1

• -4

What shape is typically formed by the graph of a linear equation?

• Parabola

• Circle

• Ellipse

• Line

For the equation y = 3/4x - 2, what is y when x = 8?

• 0

• 2

• 6

• 4

If the domain is 4, 6, and 8, what is the range for the equation y = x - 5?

• 0, 2, 4

• -2, 0, 2

• -1, 1, 3

• 1, 3, 5

What is another term for the domain of a function?

• Input

• Dependent variable

• Output

• Range

For the equation y = 3x + 1, what is y when x = 4?

• 15

• 12

• 13

• 14

What is the range for the domain -1, 0, 1, and 4 in the equation y = 3x + 1?

• -2, 1, 4, 13

• -1, 2, 5, 14

• -3, 0, 3, 12

• -2, 1, 4, 13

In the equation y = 4 - x, what is y when x = -2?

• 1

• 6

• 2

• 4

What is the range for the domain -2, 3, and 5 in the equation y = 4 - x?

• 6, 1, -1

• 5, 0, -2

• 7, 2, 0

• 6, 1, -1