(4,1) and (20, y)
The function table will have two columns, one for the x-value and one for the y-value. Form ordered pairs (x,y) by inserting the values from one row of the table.
If a line passes though (10, -3) and (2k, k) the slop of this line is 2/3. How do i find the value of k and state the new ordered pair?
If y varies directly as x and y is 36 when x is 9, then y is always four times the value of x. So if y is 12, then x is 3.
A function is a relation in which every input value has one output value. so when you have a set of ordered pairs, there can only be one x value corresponding to a y value, so when there is a set like this....{(2,3) (2,4)} the x value has two outputs making this not a function.
y is 2/3.
It is 2.
A set of ordered pairs that assign to each x-value exactly one y-value is called a function.
Ordered pairs are used for many things. Anytime you graph a point on a cartesian coordinate system, you have an ordered pair. In fact, all of R^2 is made up of ordered pairs. When you put a value in a function and get one out, you have an ordered pair
This kind of question usually accompanies a specific table of ordered pairs. The idea is that the ordered pairs take the form of (x, f(x)) where the first number of the ordered pair x, is a value of the variable for some equation. When that value is used in place of the variable in the equation, we can calculate a specific value. That calculated value appears as the second value of the ordered pair and is represented by f(x) above. Typically the equation is relatively simple, such as a linear equation or a quadratic equation. Therefore, in order to determine the equation, we have to know exactly what the ordered pairs are.
The function table will have two columns, one for the x-value and one for the y-value. Form ordered pairs (x,y) by inserting the values from one row of the table.
You can write ordered pairs as ratios to determine if two sets of ordered pairs form a linear or non-linear relationship. In a table of x,y values, the ordered pairs are listed as the x value first, then the corresponding y value. Remove from the table and write as a ratio of x over y, (or y over x, if you like). In a linear relationship, all the ratios of x over y, (or y over x) are equivalent.
1
Choose any value for x. Calculate 8x to get the corresponding value for y.
13
To find ordered pairs of an equation, you can choose a value for one variable and then solve for the other variable. For example, if you have the equation (y = 2x + 3), you might choose (x = 1), which gives (y = 5). This results in the ordered pair (1, 5). Repeat this process with different values of (x) or (y) to generate more ordered pairs.
The equation y = 7x represents a linear relationship where the value of y is always 7 times the value of x. Therefore, all ordered pairs for this equation will have y as a multiple of 7x. For example, when x = 1, y = 7; when x = 2, y = 14; and so on. The ordered pairs for y = 7x will be in the form (x, 7x).
To determine if a set of ordered pairs is not a function, check if any input (x-value) is associated with more than one output (y-value). If you find at least one x-value that corresponds to multiple y-values, then the set is not a function. Additionally, you can visualize the pairs on a graph; if any vertical line intersects the graph at more than one point, it indicates that the relation is not a function.