Exploring Adding and Subtracting Rational Expressions

The video tutorial introduces a graphic organizer for parent functions, focusing on linear, absolute value, and quadratic functions. It explains the characteristics of each function, including their graphs, domains, ranges, intercepts, end behaviors, and intervals of increase or decrease. The tutorial emphasizes the importance of these functions in algebra and how they will be referenced in future units.

Which parent functions are introduced in this unit?

• Exponential, Logarithmic, Rational

• Linear, Absolute Value, Quadratic

• Sine, Cosine, Tangent

• Cubic, Square Root, Cube Root

What is the parent function for the linear function family?

• f(x) = x^2

• f(x) = |x|

• f(x) = x

• f(x) = 1/x

What is the slope of the linear parent function?

• 0

• 1

• -1

• 2

What is the range of the linear parent function?

• All real numbers

• 0 ≤ y ≤ 1

• y ≥ 0

• y ≤ 0

What is the parent function for the absolute value function family?

• f(x) = x^2

• f(x) = |x|

• f(x) = x

• f(x) = 1/x

What is the shape of the graph of the absolute value parent function?

• L-shaped

• S-shaped

• V-shaped

• U-shaped

What is the range of the absolute value parent function?

• All real numbers

• y ≥ 0

• 0 ≤ y ≤ 1

• y ≤ 0

What is the parent function for the quadratic function family?

• f(x) = |x|

• f(x) = 1/x

• f(x) = x^2

• f(x) = x

What is the vertex of the quadratic parent function?

• (1,1)

• (0,0)

• (-1,-1)

• (2,2)

What is the range of the quadratic parent function?

• y ≥ 0

• y ≤ 0

• All real numbers

• 0 ≤ y ≤ 1