The graph of y = ∫ 0 x l ( t ) d t , where l is a piecewise linear function , is shown here. a. Over which intervals is l positive? Over which intervals is it negative? Over which, if any, is it zero? b. Over which intervals is l increasing? Over which is it decreasing? Over which, if any, is it constant? c. What is the average value of l ?
The graph of y = ∫ 0 x l ( t ) d t , where l is a piecewise linear function , is shown here. a. Over which intervals is l positive? Over which intervals is it negative? Over which, if any, is it zero? b. Over which intervals is l increasing? Over which is it decreasing? Over which, if any, is it constant? c. What is the average value of l ?
The graph of
y
=
∫
0
x
l
(
t
)
d
t
, where
l
is a piecewise linear function, is shown here.
a. Over which intervals is
l
positive? Over which intervals is it negative? Over which, if any, is it zero?
b. Over which intervals is
l
increasing? Over which is it decreasing? Over which, if any, is it constant?
c. What is the average value of
l
?
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
. Use the graph, shown below, of a function y = f(x) to answer the following questions.
. Use the graph, shown below, of a function y = f(x) to answer the following questions.
a) What is the average rate of change of f(x) over the interval [-2,3] ?
b) Over what intervals is f(x) increasing?
c) Over what intervals is f(x) decreasing?
d) At what input value does f(x) have a relative maximum value?
e) What is the relative maximum output value that corresponds to your answer to (d)?
The table below gives the annual sales (in millions of dollars) of a product from 1998 to 2006. Use the table to answer the following questions. (Don’t forget to state units.)
a) What is the average rate of change of annual sales from 2000 to 2002?
b) What is the average rate of change of annual sales from 2001 to 2004?
c) Over what time period was the annual sales increasing?
d) Over what time period was the annual sales decreasing?
e) During what year was the…
Finite Mathematics & Its Applications (12th Edition)
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