Graphing a Sequence
- To graph a sequence, plot each ordered pair \left (n, f_ {n}\right) (n,f n ). ...
- A sequence is a function, so it will pass the vertical line test.
- The domain consists of natural numbers \left\ { 1,2,3,4,5,6,7,8... \right\} {1,2,3,4,5,6,7,8...}. ...
- When we consider the ordered pair for an arithmetic sequence the change in n is by a constant value 1. ...
How do you plot ordered pairs on a graph?
The first sequence, Sequence x, starting number should be one, and then the rule is add one. Sequence y, starting number should be five, and then the rule should be add five. Fill in the table with the first three terms of x and y. Then plot the ordered pairs (x,y) on the graph below. So let's see, Sequence x.
What are the starting numbers and rules for two sequences?
Voiceover: You are given the following starting numbers and rules for two sequences of numbers. The first sequence, Sequence x, starting number should be one, and then the rule is add one. Sequence y, starting number should be five, and then the rule should be add five. Fill in the table with the first three terms of x and y.
How do you plot a rational number on a graph?
Plot the b number on the Y-axis. Your b is always going to be a rational number. Just whatever number b is, find its equivalent on the Y-axis, and put the number on that spot on the vertical axis. For example, let's take the equation y = 1/4x + 5. Since the last number is b, we know that b equals 5.
What is the starting number of the sequence Y?
So the starting number is one, and then the rule, to get to the next number, you just add one. So, one plus one is two. Two plus one is three. Fairly straight forward. Now, let's look at Sequence y. They're saying the starting number should be five. Starting number five, and then the rule is, to get the next term, we just add five.
How to graph a linear equation?
To graph a linear equation, start by making sure the equation is in y = mx + b form. Then, plot the b value on the y-axis. Next, convert the m value into a fraction if it's not already by placing it over 1.
How to find the point where a straight line passes through the Y axis?
For example, let's take the equation y = 1/4x + 5. Since the last number is b, we know that b equals 5. Go 5 points up on the Y-axis and mark the point. This is where your straight line will pass through the Y-axis.
How many points does a line travel to the right?
For example, using the illustration above, you can see that for every 1 point the line rises up, it travels 4 to the right. That's because the slope of the line is 1/4. You extend the line indefinitely along both sides, continuing to use rise over run to graph the line.
How to extend a line from a slope?
Start at your b value: we know that the equation passes through this point. Extend the line by taking your slope and using its values to get points on the equation.
What does a horizontal line represent?
A horizontal line represents an equation in which there is no x, and y is equal to a constant number, such as y = 3. A vertical line represents an equation in which there is no y, and x is equal to a constant number, such as x = 5. Thanks! Yes No. Not Helpful 5 Helpful 8.
How many points does a 4/1 slope travel?
A 4/1 slope travels 4 points up for every 1 point over.
What is the first number in a slope?
The first number (numerator) is the rise in rise over run. It's how far the line travels up, or vertically. The second number (denominator) is the run in rise over run. It's how far the line travels to the side, or horizontally. For example: A 4/1 slope travels 4 points up for every 1 point over.
