Exploring Domain, Range, and Zeros of Functions

The video tutorial reviews the concepts of zeros, domain, and range in graphs, focusing on different types of functions including linear, cubic, quadratic, absolute value, square root, and rational functions. It explains how to find zeros, domain, and range using set and interval notation, and discusses the characteristics and behavior of each function type.

What are zeros in the context of a graph?

• Y-intercepts

• X-intercepts

• Points where the graph is undefined

• Maximum points on the graph

In interval notation, how is the domain of a function that starts at -2 and extends to positive infinity written?

• [-2, ∞]

• (-∞, -2]

• [-2, ∞)

• (-2, ∞)

What is the maximum number of X-intercepts a linear function can have?

• None

• Three

• Two

• One

For a cubic function, what is the maximum number of X-intercepts it can have?

• Four

• One

• Two

• Three

What is the shape of the graph of a quadratic function?

• A straight line

• A parabola

• A V-shape

• A sideways S-shape

In the vertex form of a quadratic function, what does the 'K' value represent?

• The slope of the graph

• The X-intercept

• The Y-intercept

• The highest or lowest point of the graph

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

• A sideways S-shape

• A straight line

• A parabola

• A V-shape

For a square root function, what must be true about the value inside the square root to avoid imaginary numbers?

• It must be greater than or equal to zero

• It must be less than zero

• It must be a positive integer

• It must be a negative integer

In a rational function, what does the vertical asymptote represent?

• The value that Y cannot be

• The value that X cannot be

• The Y-intercept

• The X-intercept

What is the range of a rational function with a horizontal asymptote at Y = 1?

• All real numbers except Y = 1

• All real numbers except X = 0

• All real numbers except Y = 0

• All real numbers except X = 1