Unit 1 Review: Key Concepts and Practice Questions

What is the primary focus of the first AP Pre-Calculus video?

• Basics of trigonometry

• Introduction to calculus

• Review of algebraic concepts

• Overview of polynomial functions

What happens to the output of a polynomial function as the input values increase without bound?

• Output remains constant

• Output increases without bound

• Output fluctuates

• Output decreases without bound

What is the significance of the leading coefficient in determining the end behavior of polynomial functions?

• Indicates the maximum value of the function

• None of the above

• Determines the curvature of the graph

• Affects the direction the function approaches as input values increase

Which term dominates in a polynomial function as the input values increase?

• The term with the highest degree

• The constant term

• The term with the lowest degree

• All terms equally contribute

What does the term 'dominate' refer to in the context of polynomial functions?

• The term with the lowest coefficient

• The constant term in the polynomial

• The term that contributes least to the function's value

• The term with the highest exponent

What does a vertical asymptote in a graph indicate?

• An undefined function

• A hole in the graph

• A zero in the denominator without a corresponding zero in the numerator

• A zero in the numerator

How does multiplicity affect the graph of a polynomial function?

• Changes the degree of the polynomial

• Influences whether a point is a hole or a vertical asymptote

• Determines the number of turns in the graph

• None of the above

What is the end behavior of a function as x approaches infinity if the degree of the numerator is less than the degree of the denominator?

• Fluctuates without bound

• Becomes undefined

• Approaches zero

• Approaches a non-zero constant

What is the end behavior of a polynomial function where the degree of the numerator is greater than the degree of the denominator?

• The function decreases without bound

• Approaches a slant asymptote

• Approaches a horizontal asymptote

• The function approaches zero

What does an increase without bound imply about a function's behavior?

• The function approaches a finite limit

• The function decreases to negative infinity

• The function increases towards infinity

• The function remains constant