Station 1:
Write a function for each of the following relationships:
1)
a)
b)
c)
2)
a)
b)
c)
{2, -4, -10, -16, -22, … }
{2, 8, 14, 20, 26, … }
{-5, -11, -17, -23, -29, …}
3)
a)
b)
Station 2: Function Notation
Given f(x) = -2x + 3 and g(x) = 4x – 7, evaluate the following,
1) f (7)
2) g( -3)
3) f (x) = 25
4) g (x + 3)
5) 3f (x) – 4g (x)
6) f (4) + 6
7) Joshua and Melvin can’t agree on the method to solve this question:
If f (x) = 2(x) + 4 and g(x) = 3x – 10 , find f (4) – g (4). Joshua says you have to
write 2x + 4 and subtract 3x – 10, then substitute in the 4. Melvin says you have to
evaluate f(4) and g(4) separately, and then subtract.
Who will arrive at the correct answer? Explain
Station 3: Arithmetic Sequences
1. Write a recursive formula for each of the following sequences. Then find the next 3 terms.
a) {-3, 6, 12, 18, . . . }
b) { 0.2, 0.35, 0.5, 0.65, . . . }
c) {0, -2.5, -5, -7.5, . . .}
2. A cleaning service charges $50 for the first room that they clean. Each additional room is then
discounted to $40 each.
a) Write a sequence that represents the cost of cleaning rooms.
b) Write a recursive formula for this sequence.
c) If you owned a large home and needed to have 8 rooms cleaned, how much would it cost?
d) What is the domain and range of this recursive sequence?
Station 4: Identify a function
Explain whether the following relations are functions. Justify your answer. If it is a function,
state the domain and range.
1)
2)
3)
4)
5) (0,5), (1,7), (2,9), (3,11)
Station 5: Write a function and graph:
Chris and Lauren both have gift cards for Game Stop. Chris starts with $30 on his gift card and
spends $2.75 per week to buy used games. Serena has $50 on her gift card and spends $5.00 per
week.

Write both functions in function form.
C(x) =
L(x) =
 Graph both functions below.
 State the domain and range for each function. What does the domain represent in context?
 Find C(5) and state what it means in context.