Exploring Rational Functions in Algebra 2

The lesson covers rational parent functions and their transformations, starting with a pre-knowledge check on vertical lines. It revisits learning goals and includes watching a math documentary. The main focus is on graphing rational functions, understanding transformations, and identifying asymptotes. The lesson also explores reflection and stretching of functions, concluding with practice instructions.

What is the equation of a vertical line that crosses the x-axis at 3?

• x = 0

• x = 3

• y = 0

• y = 3

Why is learning math important according to the teacher?

• It is a fun subject.

• It prepares us for future opportunities like SAT, college, and careers.

• It is easy to learn.

• It helps in daily chores.

What is the basic equation of a rational parent function?

• f(x) = x^2

• f(x) = x^3

• f(x) = x

• f(x) = 1/x

What happens to the y-value as the x-value increases in the rational parent function?

• The y-value becomes undefined.

• The y-value remains constant.

• The y-value decreases.

• The y-value increases.

What is the equation of the vertical asymptote for the rational parent function?

• y = 0

• x = 0

• x = 1

• y = 1

What is the domain of the rational parent function?

• All real numbers

• All real numbers except 0

• All positive numbers

• All negative numbers

What transformation occurs when you add a number to the denominator of the rational function?

• It moves the graph up.

• It moves the graph down.

• It moves the graph right.

• It moves the graph left.

What transformation occurs when you subtract a number from the denominator of the rational function?

• It moves the graph down.

• It moves the graph up.

• It moves the graph right.

• It moves the graph left.

What happens to the graph of the rational function when a negative sign is added to the numerator?

• It shifts up.

• It reflects over the x-axis.

• It shifts down.

• It reflects over the y-axis.

What is the effect of multiplying the numerator of the rational function by a number greater than 1?

• Vertical compression

• Vertical stretch

• Horizontal compression

• Horizontal stretch