Exploring Domain, Range, and End Behavior in Algebra 2

This Algebra 2 tutorial covers functions, focusing on domain, range, intercepts, and end behavior. It explains key vocabulary and demonstrates how to find domain and range using examples, including continuous, mixed notation, infinite domain, and piecewise functions. The video also discusses end behavior and provides practical examples to illustrate these concepts.

What is the domain of a function?

• The set of all Y values for a function

• The set of all X values for a function

• The point where the function crosses the y-axis

• The behavior of the function at its ends

Which notation uses curly brackets to describe the domain and range?

• Interval notation

• Set notation

• Graphical notation

• Function notation

How do you represent a closed circle in interval notation?

• With a comma

• With curly brackets

• With square brackets

• With parentheses

What is the range of a function that goes from -4 to 1 with closed circles at both ends?

• [-4, 1]

• [4, -1]

• (-4, 1)

• (-4, 1]

What is the y-intercept of a function that crosses the y-axis at (0, -1)?

• (-1, 0)

• (0, -1)

• (1, 0)

• (0, 1)

If a graph has arrows on both ends, what does it indicate about the domain?

• The domain is all real numbers

• The domain is zero

• The domain is undefined

• The domain is finite

How do you write the domain of a function that goes from -4 to 5 with a closed circle at -4 and an open circle at 5 in set notation?

• {x | -4 < x ≤ 5}

• {x | -4 < x < 5}

• {x | -4 ≤ x < 5}

• {x | -4 ≤ x ≤ 5}

In a step function, what does a closed circle at the end of a step indicate?

• The function value is included at that point

• The function value is excluded at that point

• The function is undefined at that point

• The function is continuous at that point

How do you write the range of a function that includes the values 0, 1, 2, 3, and 4 in set notation?

• {y | y = 0, 1, 2, 3, 4}

• {y | y ≤ 4}

• {y | y ≥ 0}

• {y | y = 0, 1, 2, 3, 4, 5}

What does the union symbol (U) represent in interval notation?

• The difference between two intervals

• The intersection of two intervals

• The combination of two intervals

• The exclusion of two intervals