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Understand the definition of a function. - A relation is a function if each input (or x-value) is associated with exactly one output (or y-value). Step 2/7 Analyze the first set of ordered pairs: \(\{(2,-3), (3,-3), (1,4), (9,2)\}\). - Check if any x-value is repeated with a different y-value. - The x-values are 2, 3, 1, and 9.
Ah, function now, The only way to test that is with something called the vertical line test. And that basically means if you draw any vertical line, does that vertical line touch the graph more than one time a que in more mathematical terms is for every input.
00:36 Comma a 3 comma b so this is the cartesian product now what is a relation a relation from a to b is the subset of cartesian product a cross b so it's it's a subset of a cross b that we call it is a relation from u to b let's take some subsets so i can write some relation r1 as 1 comma a 1 comma b yes this is a subset let's take another relation r2 1 comma a 2 comma b 3 comma b so this is ...
A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. In terms of x and y, for every value of x, there must be exactly one corresponding value of y. Step 2/7. Examine the given relation to determine if every x-value is associated with only one y-value.
Determine if the relation represents a function by checking if each input (x-value) corresponds to a unique output (y-value). Since each x-value in the relation {(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)} maps to only one y-value, it is a function. Answer Find the domain and range of the function.
In the following exercises, use the mapping to ( 1 ) determine whether the relation is a function, (b) find the domain of the function, and $\odot$ f… 00:35 01:58
A. No, the relation is not a function because two different ordered pairs have the same first coordinate. B. Yes, the relation is a function because no two different ordered pairs have the same second coordinate. C. Yes, the relation is a function because no two different ordered pairs have the same first coordinate. D.
B. The relation is not a function of x because all functions are linear. This statement is incorrect. Functions can be linear or nonlinear, and the linearity of a function does not determine whether it is a function or not. C. The relation is not a function of x because all functions have positive slope. This statement is also incorrect.
In Relation 1, each letter in the domain (s, e, z, j) is paired with exactly one number in the range (9, 8, -8, 4). Since there are no domain elements that map to more than one range element, Relation 1 is a function. Step 3/6. Examine Relation 2. Check if each element in the domain maps to exactly one element in the range.
A function is a special type of relation where each input (x-value) is related to exactly one output (y-value). Consider the relation R = {(1, 2), (1, 3), (2, 4)}. In this relation, the input 1 is related to both 2 and 3. Since there is an input with more than one output, this relation is not a function. Answer