2.4 Exponent Review (IV) Graphing Exponential Functions
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Graphing Exponential Functions
Recall what we know about tables of values:
What
* DONT COPY THIS GRADE 9 STUFF! do you
x | f(x) = 2x+4 First Differences alread
.
-2
-1
0
1
2
3
4
5
0
y
2
2
Yep,
2.3 Exponent Review (III) Exponent Laws and Algebra
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Algebra and Exponent Laws
Simplify
32x
10
y
1
7 5
x 2
3xy
4
2
y
It is usually best to use radicals on numerics,
and exponent laws on literals.
5
32x
1
10 5
1
7 5
y 3
x 2 y
2x 2y
7
5
9 x 2 y 2
x
2.2 Exponent Review (II)
Rational Exponents
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More Exponent Laws
Remember the rule for multiplying.
1
2
1
2
x x x
Wait a second.you just multiplied something by
itself and ended up with x.
1
Isnt that the definition of a square root?
A fraction in
2
2.1 Exponent Review (I)
Exponent Laws
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Review of Exponent Laws
To multiply powers of the same base, you
add the exponents.
To divide powers of the same base, you
subtract the exponents
To raise a power to another exponent, you
multiply the exponents
1.4
Transformations
of Polynomial
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Functions
Warm Up
Let g be the indicated transformation of
f(x) = 3x + 1. Write the rule for g.
1. horizontal translation 1 unit right
g(x) = 3x 2
2. vertical stretch by a factor of 2
g(x) = 6x + 2
3. horizontal com
1.1 Polynomial Functions
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Remember integers are 2, -1, 0, 1, 2 (no decimals
or fractions) so positive integers would be 0, 1, 2
A polynomial function is a function of the form:
n must be a positive integer
f x an x an 1 x
n
n 1
a1 x ao
All of these
Polynomial
Functions and Their
Graphs
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Definition of a Polynomial Function
Let n be a nonnegative integer and let an, an1, a2, a1, a0, be real numbers with an
0. The function defined by
f (x) anxn an-1xn-1 a2x2 a1x a0
is called a polynomial function