SR Lesson 3 - Domain, Range, and Interval Notation

Unravel the mysteries of functions! Master domain, range, and interval notation for high school math success.

Intervals Interval Notation Watch the video, then answer the following related questions. Fill in the blanks. Example 1: Interval that goes from -3 to 2, including -3 and 2.This is called a closed interval.In inequality notation: -3 ≤ x ≤ 2In interval notation: [ -3, 2 ]In set-builder notation: { x ϵ R | -3 ≤ x ≤ 2 }In other words, "The set of all x's that are a member of the real numbers, such that, - 3 is less than or equal to x is less than or equal to 2."Example 2: The values between -1 and 4, not including -1 or 4.This is called an open interval.In inequality notation: -1 < x < 4In interval notation: ( -1 , 4 )In set-builder notation: { x ϵ R | -1 < x < 4 }Example 3: The values between -4 and -1, including -1.This is called a mixed interval.In inequality notation: -4< x ≤ -1In interval notation: ( -4, -1 ]In set-builder notation: { x ϵ R | -4 < x ≤ -1 }Example 4: All the real numbers except for one.This is called a mixed interval.In inequality notation: x < 1 or x > 1In interval notation: ( - ∞, 1 ) U ( 1, ∞ )In set-builder notation: { x ϵ R | x ≠ 1 } What is domain of a Function? Watch the video, then answer the following questions. Fill in the blanks. Function Definition:A function takes inputs, x, and for a given input, it’s going to produce an output which we call f(x). <- write using mathematical notation with no spaces.Domain Definition:The domain of a function is the set of all inputs over which the function has defined outputs.Find the domain of f(x) = 2 { x ϵ R | x ≠ 0} What is a range of a function? Watch the video, then respond to the following questions. Fill in the blanks. Range Definition:The set of all possible outputs.Example: Find the domain and range of f(x) = x^2Domain: All real numbersRange: { f(x) ϵ R | f(x) ≥ 0} <- Set Builder NotationIn other words, the range is the set of all non-negative numbers Domain and range from graph (practice) Complete the practice set on Khan Academy, making sure you are logged in to ensure you receive credit. Re-do the practice set until you earn a high score. Practice: Domain Range from a graph