Exploring Graph Parent Functions

What is a parent function?

• A function that is always quadratic.

• A function that is always linear.

• A function that forms the basis of all subsequent functions.

• A function that contains multiple operations.

What symbol is used to denote a parent function in this class?

• P(x)

• g(x)

• h(x)

• f(x)

What is the shape of the graph of the linear parent function P(x) = x?

• An S curve

• A straight line

• A U shape

• A V shape

What is the shape of the graph of the absolute value parent function P(x) = |x|?

• An S curve

• A U shape

• A V shape

• A straight line

What is the shape of the graph of the quadratic parent function P(x) = x²?

• An S curve

• A straight line

• A U shape

• A V shape

Which of the following is true about the square root parent function P(x) = √x?

• It uses the same x-values as other parent functions.

• It forms a V shape.

• It is undefined for positive x-values.

• It forms a curvy arrow shape.

What is the shape of the graph of the cubic parent function P(x) = x³?

• An S curve

• A V shape

• A U shape

• A straight line

What is the defining characteristic of the rational parent function P(x) = 1/x?

• The variable is in the numerator.

• The variable is in the denominator.

• It forms a U shape.

• It is always positive.

What happens to the rational parent function P(x) = 1/x at x = 0?

• It equals -1.

• It equals 0.

• It is undefined.

• It equals 1.

What is the horizontal asymptote of the rational parent function P(x) = 1/x?

• y = 1

• y = -1

• y = x

• y = 0