In an exponential decay function , the base of theexponent is a value between 0 and 1. Thus, for somenumber b > 1 , the exponential decay function canbe written as f ( x ) = a ⋅ ( 1 b ) x . Use this formula, alongwith the fact that b = e n , to show that an exponential decay function takes theform f ( x ) = a ( e ) − n x for somepositive number n .
In an exponential decay function , the base of theexponent is a value between 0 and 1. Thus, for somenumber b > 1 , the exponential decay function canbe written as f ( x ) = a ⋅ ( 1 b ) x . Use this formula, alongwith the fact that b = e n , to show that an exponential decay function takes theform f ( x ) = a ( e ) − n x for somepositive number n .
In an exponential decay function, the base of theexponent is a value between
0
and
1.
Thus, for somenumber
b
>
1
,
the exponential decay function canbe written as
f
(
x
)
=
a
⋅
(
1
b
)
x
.
Use this formula, alongwith the fact that
b
=
e
n
,
to show that an exponential decay function takes theform
f
(
x
)
=
a
(
e
)
−
n
x
for somepositive number
n
.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
7
y
6
5
4
3
2
-6-5-4-3-2-1
1+
-2
1 2 3 4 5 6
x + 2y = 8
2x + 4y = 12
The slopes are different, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
O The slopes are the same, and the y-intercepts are the same.
Choose the function to match the graph.
-2-
0
-7
-8
-9
--10-
|--11-
-12-
f(x) = log x + 5
f(x) = log x - 5
f(x) = log (x+5)
f(x) = log (x-5)
9
10
11
12
13 14
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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