Graphs of Linear Functions

Key Questions

  • How do you identify the slope and y intercept for equations written in function notation?

    For a linear function of the form

    f(x)=ax+b,

    a is the slope, and b is the y-intercept.

    I hope that this was helpful.

    Wataru · 1 · Nov 14 2014
  • How do you graph the function f(x)=x?

    Answer:

    See below

    Explanation:

    f(x) =x:forall x in RR

    Let's think for a moment about what this means.
    "f is function of x that is equal to the value x for all real numbers x"

    The only way this is possible is if f(x) is a straight line through the origin with a slope of 1.

    In slope/intercept form: y =1x +0

    We can visualise f(x) from the graph below.

    graph{x [-10, 10, -5, 5]}

    Alan N. · 1 · Jun 18 2018
  • How do you graph linear functions?

    The easiest way (In my opinion) to graph a linear function is to enter two points, and connect them.

    For example, the function:
    f(x) = 5x+3
    First you choose two x value. I will choose 0 and 1. Then you enter them in the function one by one:
    f(0) = 5*0+3 = 3
    => There is a point (0,3), that's part of the function.

    f(1) = 5*1+3 = 8
    => There is a point (1,8), that's part of the function.

    Since any line can be represented by two points, you can graph a linear function (line) by connecting the two points.

    enter image source here

    I hope this helped.

    Nico Ekkart · 1 · Dec 19 2014

Questions

Graphs of Linear Equations and Functions