Answer:
Average Rate of Change
Functions are relationships that exist between two variables. Graphing them allows us to observe and predict their behavior. The graph of a function is a line or curve where we can determine random values directly and identify a set of results through it.
The rate of change is one of the calculations we can determine from a graph. It is the change of the function per unit. It is deriving from the slope of the line formed in the interval. The formula for determining the rate of change is:
r
c
=
y
2
−
y
1
x
2
−
x
1
P
1
=
(
−
1
,
0
)
P
2
=
(
3
,
12
)
We use the average exchange rate formula:
r
c
=
y
2
−
y
1
x
2
−
x
1
We substitute the values, obtaining:
r
c
=
12
−
0
3
−
(
−
1
)
Solving, we obtain:
r
c
=
12
4
=
3
The average rate of change of
g
when
x
varies from
−
1
to
3
is:
R
c
=
3