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- The range of a collection of numbers is the distance between the largest and smallest numbers in the collection. We subtract the smallest value from the biggest value to determine a set of numbers' range. Mathematicians use the range to interpret a sample of numbers.
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1.1.4 Range of a function For a function f: X → Y the range of f is the set of y-values such that y = f(x) for some x in X. This corresponds to the set of y-values when we describe a function as a set of ordered pairs (x,y). The function y = √ x has range; all real y ≥ 0. Example a. State the domain and range of y = √ x+4. b.
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Question 5: The range for a list of numbers is 27. The smallest value is 87. What is the largest value in the list? Question 6: The number of points that Randalstown Rugby Club scored in eight matches are 24, 17, 19, 35, 9, 43, 15, 30. (a) Work out the range of the number of points scored.
Domains and Ranges Sketching Functions. Ensure you have: Pencil or pen. Guidance. Read each question carefully before you begin answering it. Check your answers seem right. Always show your workings. Revision for this topic. www.corbettmaths.com/more/further-maths/. A function f(x) is defined as.
Example. Find the range of the quadratic function g(x) =. 3x2 + 2x 1. Solution: There is no restriction on x , therefore the domain is (. ; ). As for the range, we complete the square to get: 3x2 + 2x 1 = 3(x2. 2 [ 1 1. 3 x) 1 = 3 3 9 3 9 1 (x )2 ] 1 = 3(x 1 3 )2 +.
This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature.
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(a) What is the range of the number of people per car? (b) How many cars were included in the survey? (c) Ivan says, "The average number of people per car is 1.4."
Read the attached page of notes first below beginning this activity. It gives you examples of domain and range problems just like these. Match each domain and range given in this table with a graph labeled from A to L on the attached page. Only use Graphs A – L for this page.
