PreCalculus
Difference Quotient -Objective 11
Find the average rate
of
change for the function between 14) f(x) = 4
the
given
values.
1) f(x) =
3x
-
9;
from
1 to 3 1
15)
f(x) 5x
2)
f(x)
=~;
from
2 to 8
16) f(x) = x2 +
3x
+ 9
7
3) f(x) 4x2!
.
from
0 to -4
4)
f(x) =
-3x
2 x;
from
5 to 6
5)
f(x) =
~2x
-
1;
from
1
to
5
3
6)
f(x)
--;
from
1
to
4
x+2
Find
an
equation
of
the secant line containing
(1,
£(1»
and
(2, £(2».
7)
f(x) x3 -x
4
8)
f(x)
x+3
For
the function, find the average rate
of
change
of
f from
1 to
x:
f(x)
-
f(1)
1
,x=
x-I
9)
f(x) =
-2x
x2 -
10)
f(x)
2x
5
11)
f(x)
=--
x+4
12)
f(x) =
~x
+ 15
Find .and
simplify
the difference quotient
f(x+h)-f(x)
..
h '
h=
0 for the gIven function.
13) f(x)
3x
-7
