- LINEAR FUNCTIONS
Generating Patterns and Graphing Relationships
Consider the table given below.
Let's find the relationship between x and y.
Row 1: 1 + 2 = 3
Row 2: 2 + 2 = 4
Row 3: 3 + 2 = 5
Row 4: 4 + 2 = 6
So, x + 2 = y.
The rule or the function is y = x + 2.
Now, let's find the ordered pairs and draw the graph.
Each row in the table represents an ordered pair.
An ordered pair (x, y) tells the location of a point on the coordinate plane.
The x-coordinate (x-value) tells the distance of the point from the origin in the horizontal direction. The y-coordinate (y-value) tells the distance of the point from the origin in the vertical direction.
The ordered pairs for the given x- and y-values are (1, 3), (2, 4), (3, 5), and (4, 6).
Now, plot a point for each ordered pair.
First plot the point (1, 3). Start at (0, 0) and move 1 unit right and 3 units up.
Similarly, plot the other points.
Then, draw a line passing through these points. The line represents all ordered pairs that follow the rule.
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The correct answer is
The smallest number is the one that comes first while counting.
To arrange the given numbers in order from smallest to greatest, find the smallest number among all the given numbers.
21 is the smallest number.