Find Lim f(x) as x->0
for
f(x)=5x-8 ......x<0
f(x)=|-4-x|......x ≥ 0
Clearly
f(0)=|-4-0|=|-4|=4 exists.
The left-hand limit, as x-> 0- is f(0-)=5(0)-8=-8
The right hand limit, as x->0+ is f(0+)=|-4-0|=|-4|=4
Since the left and right limits do not both equal f(0), the limit does not exist.
The graph provides distance as a linear function of time.
The y-intercept is zero.
The line passes through (0,0) and (6,120).
Calculate the slope.
m = (120 - 0)/(6 - 0) = 20
The equation of the line is
d = 20t
where
t = time, hours
d = distance, miles
Therefore distance is the dependent variable.
When t = 24 hours, the distance is 20*24 = 480 miles.
Answers:
(a) Distance is the dependent variable
(b)The equation relating the two variables is
d = 20t
where
t = time, hours
d = distance, miles
(c) In 24 hours, the dragonfly will travel 480 miles.
Answer:
Step-by-step explanation:
It is multiplied by to because the raidouis is double.
