6

4

2

-2

-4

-6

-5 5

r x = -22x-4-2

q x = 0.52x-2

h x = -2x+2-2

g x = 2-x

f x = 2x

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

(MCC9-12.F.IF.7; MCC9-12.F.IF.7e)

Station 1f(x) = 2x

Step 1: Find f(x).

x f(x)

-2-1

0

1

2

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs using black yarn.

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 1f(x) = 2x

Step 1: Find f(x).

x f(x)

-2-1

0

1

2

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs using black yarn.

¼½124

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of f(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of f(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

(-∞, ∞)(0, ∞)y = 0(- ∞, ∞)none(0, 1)Rises on the right

none©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 2h(x) = -2(x+2) - 2

Step 1: Find h(x).

x h(x)

0

-1

-2

-3

-4

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs

using orange yarn.©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 2h(x) = -2(x+2) - 2

Step 1: Find h(x).

x h(x)

0

-1

-2

-3

-4

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs

using orange yarn.

-6-4-3-2½-2¼©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of h(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations of f(x)

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of h(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations of f(x)

(-∞, ∞)(-∞, -2)y = -2(- ∞, ∞)none(0, -6)none

Horizontal shift ← 2 unitsVertical shift ↓ 2 unitsReflection across x-axisFalls on the right

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 3q(x) = ½(2)(x-2)

Step 1: Find q(x).

x q(x)

1

2

3

4

5

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs using green yarn.

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 3q(x) = ½(2)(x-2)

Step 1: Find q(x).

x q(x)

1

2

3

4

5

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs using green yarn.

¼½124

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of q(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations of f(x)

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of q(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations of f(x)

(-∞, ∞)(0, ∞)y = 0(- ∞, ∞)none(0, 1/8)none

Horizontal shift → 2 unitsVertical compression by a factor of ½Rises on the right

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 4r(x) = -2(2)(x-4) - 2

Step 1: Find r(x).

x r(x)

1

2

3

4

5

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs using purple yarn.

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 4r(x) = -2(2)(x-4) - 2

Step 1: Find r(x).

x r(x)

1

2

3

4

5

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs using purple yarn.

-2¼-2½-3-4-6©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of r(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations of f(x)

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of r(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations of f(x)

(-∞, ∞)(-∞, -2)y = -2(- ∞, ∞)none(0, -21/8)none

Horizontal shift → 4 units; Vertical shift ↓ 2 unitsVertical stretch by a factor of 2; Reflection across x-axisFalls on the right

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 5g(x) = 2-x

Step 1: Find g(x).

x g(x)

-2

-1

0

1

2

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs using pink yarn.

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Station 5g(x) = 2-x

Step 1: Find g(x).

x g(x)

-2

-1

0

1

2

Step 2:Plot the coordinates

using the pegs.

Step 3: Connect the pegs using pink yarn.

421½¼

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of g(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations of f(x)

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics of g(x)

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations of f(x)

(-∞, ∞)(0, ∞)y = 0(- ∞, ∞)none(0, 1)none

Reflection across y-axisRises on the left

©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

Characteristics

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations

Station #_____

Equation

____________________

Characteristics

Domain?

Range?

Horizontal asymptote?

Intervals of increasing?

Intervals of decreasing?

x-intercepts?

y-intercepts?

End behavior?

Transformations

Station #_____

Equation

____________________