5. EXPONENTIAL FUNCTIONS
MATH 111
5
Exponential Functions
2
Upon this point, we have delt with functions which involve terms like x2 or x 3 , in other
words, terms of the form xp . For such a term, the base x is the input, whose value varies,
but the powe
f (x) = ax2 + bx + c
a b
a 6= 0
c
x
f (x) = 3x2 + x 7
Q(x) = (2x 3)2 + 4
a = 3, b = 1, c =
7
Q(x)
x
Q(x) = 4x
a=1
2
12x + 13
a = 4, b =
12, c = 13
f (x) = x2
b=c=0
f
f (x)
f (x) = ax2 + bx + c
x=
b
2a
(
x2
y = f (x) =
x+6
x y
1, c = 6
f a = 1.b =
1
1
=
2(
MATH 111
2
2. LINEAR FUNCTIONS AND AVERAGE RATE OF CHANGE
Linear Functions and Average Rate of Change
2.1
Average Rate of Change
Example 2.1
Suppose you take a trip and record the distance that you travel every few minutes. The distance s you have travele
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