Input, Independent variable, x-values = SAME MEANING

Input, Independent variable, x-values = SAME MEANING

1. Output, dependent variable, y-values = SAME MEANING

   • Relation: any set of ordered pairs. Domain: the set of all inputs. Range: the set of all outputs.
   • A function is a relation in which each input gives exactly one output. A formula is an equation involving variables.

2. Consider the function: f(x)=5x or y=5x... The name of the function is f. x represents the input. The output is f(x) or 5x.

   • f(x)=5-2/3x... Linear: yes b=5 m=-2/3
     • A linear function is a function of the form f(x)=b+mx where b and m are real numbers.

3. Parallel lines= same slope, different y-intercept

   • m1=m2 = parallel
     • Lines are perpendicular if and only if their slopes are negative reciprocals, m1=-1/m2
       • Point slope: y-y1=m(x-x1)

4. In order to find intersection points of two linear fuctions/lines, set the two equations equal to each other.

   • b1+m1x=b2+m2x

5. Substution method and Elimination method***