1. We can use an equation, graph or table
to see whether a function is linear,
exponential or quadratic.
Linear Function:
y-values have a
Exponential Function:
Quadratic Function:
Does the table of values
to the right model a
quadratic function?
Linear Exponential Quadratic
common difference
common ratio
common
second difference

2. 4. SAVINGS: Jon and Liz each have $1,000 which they plan to save.
Graph each set of ordered pairs and determine whether the graph models a linear, an exponential, or a quadratic function.
1. {(-2, 11), (0, 5), (2, -1), (3, -4), (5, -10)} {(-2, -16), (-1, -7), (1, 5), (3, 9), (6, 0)} {(-1, 1.5), (0, 3), (1, 6), (2, 12), (3, 24)}
4. SAVINGS: Jon and Liz each have $1,000 which they plan to save.
The functions that represent the amount of money y each will save after x years are shown below.
Jon: Liz:
Through year 5, who will have saved the most money?
After year 15, who will have saved the most money?

3. We can use a table to find the average rate of change for a function (even if it is not linear) over a specific interval.
Complete the tables. Then find the average rate of change for functions f(x), g(x), and h(x) for the specified intervals.
Remember: Determine which of the three functions is increasing the fastest.
a) [-2, 0] b) [0, 1] c) [3, 5] d) [0, 5]
f(x)
g(x)
h(x)
Which is increasing Which is increasing Which is increasing Which is increasing
the fastest? the fastest? the fastest? the fastest?