J Lesso n Ch eck
Do y o u k n o w H OW?
Which type of function best models each set of data
points?- (0,11), (1,5), (2, 3), (3, 5), (4,11)
- (-4, -10), (-2, -7), (0, -4), (2, -1), (4, 2)
- (-1,8), (0,4), (2,1), (3,0.5)
_______MATHEMATICAL
Do y o u UN DERSTAN D? PRACTICES- Reasoning Can the y-values in a set of data pairs
have both a common ratio and a common difference?
Explain why or why not. - W ritin g Explain how to decide whether a linear,
exponential, or quadratic function is the most
appropriate model for a set of data.
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
Pr act i ceMATHEMATICAL
PRACTICESGraph each set of points. Which model is most appropriate for each set? See Problem 1.- (-2, -3), (-1, 0), (0, 1), (1, 0), (2, -3 ) 7. (-2, -8), (0, -4), (3, 2), (5, 6)
- (-3, 6), (-1, 0), (0, -1), (1, -1.5) 9. (-2, 5), (-1, -1), (0, -3), (1, -1), (2, 5)
- (-1, -5 f), (0, -5), (2, 3), (3, 27)
Which type of function best models the data in each table? Use differences
or ratios.- (-3, 8), (-1,6), (0,5), (2, 3), (3, 2)
4/b See Problem 2.12.
——
00
1 1.5
26
313.5
42413.
an14.-5an
01
11.2
2 1.44
31.728
4 2.0736Which type of function best models the data in each table? Write an equation to
model the data.^ See Problem 3.an
0 5
12
2 0.79
30.32592 Ch ap t er 9 Qu ad r at i c Fu n ct i o n s an d Eq u at i o n s