How Do You Graph Linear Functions Like f(x) = x + 3?

In summary, a linear function is a mathematical equation that represents a straight line when graphed. To graph a linear function, you need to plot two or more points on the coordinate plane and connect them with a straight line. The slope of a linear function is a measure of the steepness of the line, and the y-intercept is the point where the line crosses the y-axis. Linear functions can be used to make predictions by plugging in a given x-value and solving for y, as well as using the slope to determine the rate of change and make predictions for future values.
  • #1
sfeld
12
0
How exactly do you do this, graphing linear functions?

f(x) = x + 3?

Can someone explain how to do it.
 
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  • #2
Pick two values of x and use f(x) to find the corresponding values of y. Then plot each pair of (x, y) values on your graph paper and draw a line through those two points.
 
  • #3
Often plotting f(x) = 0 and x = 0 are the easiest (assuming they are not the same point). Furthermore when drawing it out a 3rd point helps as a check.
 

Related to How Do You Graph Linear Functions Like f(x) = x + 3?

What is a linear function?

A linear function is a mathematical equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

How do you graph a linear function?

To graph a linear function, you need to plot two or more points on the coordinate plane and then connect them with a straight line. You can also use the slope and y-intercept to determine additional points to plot.

What is the slope of a linear function?

The slope of a linear function is a measure of the steepness of the line. It is represented by the letter m and can be calculated by dividing the change in the y-coordinates by the change in the x-coordinates between two points on the line.

What is the y-intercept of a linear function?

The y-intercept of a linear function is the point where the line crosses the y-axis. It is represented by the letter b and can be found by identifying the y-coordinate when x = 0 in the equation y = mx + b.

How can you use a linear function to make predictions?

Linear functions can be used to make predictions by plugging in a given x-value into the equation and solving for y. This will give you the expected y-value or output for that input. Additionally, you can use the slope to determine the rate of change and make predictions for future values.

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