Question

2.6 hw - key features of functions
identify the function graphed as linear or nonlinear. then estimate and interpret the intercepts of the graph, any symmetry, and where the function is positive, negative, increasing, and decreasing.
1.
davids savings for car
savings ($)
weeks
0 2 4 6 8 10
1200
1400
1600
1800
2000
1200
a) linear or nonlinear?
b) x - intercept(s):
c) y - intercept:
d) where is the function...? (write an interval)
positive:
negative:
increasing:
decreasing:
2.
baking supplies
flour (c)
batches of cookies
0 4 8 12
4
8
12
16
20
a) linear or nonlinear?
b) x - intercept(s):
c) y - intercept:
d) where is the function...? (write an interval)
positive:
negative:
increasing:
decreasing:
3.
water level
water level (cm)
time (seconds)
0 40 80 120 160 200 240
28
32
36
40
44
a) linear or nonlinear?
b) x - intercept(s):
c) y - intercept:
d) where is the function...? (write an interval)
positive:
negative:
increasing:
decreasing:

Explanation:

Answer:

(1)
(a) Linear
(b) None
(c) 1400
(d) Positive: \((0,\infty)\); Negative: None; Increasing: \((0,\infty)\); Decreasing: None
(2)
(a) Linear
(b) 12
(c) 20
(d) Positive: \((0,12)\); Negative: \((12,\infty)\); Increasing: None; Decreasing: \((0,\infty)\)
(3)
(a) Non - linear
(b) None (approximate value may vary depending on scale, but not clearly crossing x - axis in given view)
(c) 44
(d) Positive: \((0,\infty)\); Negative: None; Increasing: None; Decreasing: \((0,\infty)\)