Function Families

4 families Linear Quadratic Exponential Absolute Value

Linear

Quadratic

Exponential

Absolute Value

Linear – Line y =a x +b

Quadratic – parabola y =a x 2 +b x +c

Exponential – Slide y =a ∙ b x

Absolute Value – V y =a │ x +b │ +c

Model & Equation? Plot the points using Stat Plot Identify the model

Plot the points using Stat Plot

Identify the model

Model & Equation? Stat>Calc> 4 Linear 5 Quadratic 0 Exponential

Stat>Calc>

4 Linear

5 Quadratic

0 Exponential

Model & Equation? Put equation in Y= to check with points No Absolute Value

Put equation in Y= to check with points

No Absolute Value

Model & Equation? (-2, ¼) (–1, ½) (0, 1) (1, 2) (2,4) Exponential y = 2 x

(-2, ¼) (–1, ½) (0, 1) (1, 2) (2,4)

Exponential

y = 2 x

Model & Equation? (-2, 3) (–1, 3/2) (0, 1) (1, 3/2) (2,3) Quadratic y = ½ x 2 + 1

(-2, 3) (–1, 3/2) (0, 1) (1, 3/2) (2,3)

Quadratic

y = ½ x 2 + 1

Model & Equation? (-2, -3) (–1, -1) (0, 1) (1, 3) (2, 5) Linear y = 2 x + 1

(-2, -3) (–1, -1) (0, 1) (1, 3) (2, 5)

Linear

y = 2 x + 1

Review What are the names and shapes of the four function families?

What are the names and shapes of the four function families?