college math 116

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Functions are a lot like equations. In a function we look at the relationship of the variables. Does one variable depend on the other.

In a function when you see f(x) it just means "y." So we have an equation y = 2x + 3 and a function that is
f(x) = 2x + 3. When graphed, they both look like the same line.

What makes these a linear equation or a linear function? How can we tell if they are linear?

  • college math 116 -

    The "x" is the one make a linear function or equation. Cuz x is independent variable and we just plug it in equation to find y or f(x).

    Linear equation has formula: y=ax+b

    Unlike parabola: y=ax^2+bx+c and so on.

  • college math 116 -

    z=4x+3y
    2x+3y<=6
    3x-2y<=9
    x+5y<=20
    x>=0,y>=0

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