Mixed Functions

Linear: y=mx+b

Quadratic: y=ax2^2+bx+c

Exponential: y=abx^x

Exponential tables have a common increase/ decrease going by multiplication

Linear tables go by addition/subtraction

Quadratic tables have two similar numbers

Linear regression on Calculator = Stat button > EDIT > type in X and Y values > Stat button again > CALC option > Option 4 LinReg (ax+b)

LinReg will go like this = a= b= r= r²=

Equation for Lin Reg = ax+b

Correlation Coefficient = r value (NOT r²)

Absolute value equation = a|x - h| + k

Parent function for absolute value : f(x) or y= |x|

Transformations for Functions

  • -f(x) = reflect f(x) over the x axis

  • f(x) + k = translates up k units

  • f(x) - k = translates down k units

  • f(x-h) = translates right h units

  • f(x+h) = translates left h units

LOOK OVER PAGE 8 OF NOTE PACKET TO MAKE EQUATION OUT OF A GRAPH.

Graphing Square Roots

  • write down the table of the x and y values

  • all square root functions have values for domain and range

  • state the transformation from the parent function

Solving nonlinear functions

Piecewise functions

< = open circle

< = closed circle

if < or > graph the numbers that are exactly greater or less

if < or > graph the number AND greater or less

LOOK OVER PAGE 18 OF NOTE PACKET