Chapter 1: Input, Independent variable, x-values = SAME MEANING

Chapter 1: Input, Independent variable, x-values = SAME MEANING

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

   • Chapter 1: Relation: any set of ordered pairs. Domain: the set of all inputs. Range: the set of all outputs.
     • Chapter 1: Express y=3x+7 in function notation. DO NOT OVERTHINK (f(x)
   • Chapter 1: A function is a relation in which each input gives exactly one output. A formula is an equation involving variables.
     • Every Chapter: Common denominators***don't multiply common denominators through parentheses...for example: 6/1 x 2/3(x+7)=1/2(x+13) x 6/1 ... 6/1 is the COMMON DENOMINATOR

2. Chapter 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.

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

3. Chapter 2: Parallel lines= same slope, different y-intercept

   • Chapter 2: m1=m2 = parallel
     • Chapter 2: Lines are perpendicular if and only if their slopes are negative reciprocals, m1=-1/m2
       • Chapter 2: Point slope: y-y1=m(x-x1)

4. Chapter 2: In order to find intersection points of two linear fuctions/lines, set the two equations equal to each other.

   • Chapter 2: b1+m1x=b2+m2x

5. Chapter 7: Substution method and Elimination method***