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GSE Algebra I
Unit 8 – Comparing and Contrasting Functions
8.3 - Comparing Functions
Name: __________________________________________________________ Date: ____________________________
A.
x
y
B.
0
4
1
12
2
20
C.
This type of function
has a constant rate of
change.
3
28
D.
Two Forms:
y  ax 2  bx  c
or
y  a  x  h  k
2
E.
This type of function
has an asymptote.
F.
I.
J.
This type of function
has a vertex and axis
of symmetry
K.
x
y
N.
O.
This type of function
has a common Ratio
M.
Arithmetic Sequence
G.
x
1
2
3
4
y
2
4
8
16
y=mx+b
Write the letters of the functions or characteristics
under the appropriate category.
Linear:
y  ab
H.
x
y
x
1
2
3
4
500 100 20 4
L.
0
26
1
29
2
30
3
29
P.
Geometric
Sequences
Write the equation for each of the tables
(A, F, H, & K). Then write a story to describe it.
A:
F:
H:
Exponential:
K:
GSE Algebra I
Unit 8 – Comparing and Contrasting Functions
Exponential functions have a fixed
number as the base and a variable
number as the exponent.
Let’s fill out the table to compare linear,
over time.
x
Linear
y = 2x + 2
8.3 - Comparing Functions
y = x2 + 2
Exponential
y = 2x
0
1
2
3
4
5
1. Calculate and compare the slopes for each function from x1 = 0 to x2 = 1.
Linear’s R.O.C
Exponential’s R.O.C.
Whose R.O.C. is the steepest?
2. Calculate and compare the slopes for each function from x1 = 2 to x2 = 3.
Linear’s R.O.C
Exponential’s R.O.C.
Whose R.O.C. is the steepest?
3. Calculate and compare the slopes for each function from x1 = 4 to x2 = 5.
Linear’s R.O.C
Exponential’s R.O.C.
Whose R.O.C. is the steepest?
VERY IMPORATANT TO KNOW!
Conclusion over a LONG period of time the _______________________
function will exceed the value of the other functions.
4. Based on the graph on the right, which
statement is not true?
A. Functions f and g have the same x-intercept.
B. The ordered pair (1, 2) is a solution for f(x).
C. The ordered pair (2, 7) is a solution for g(x).
D. The value of f(x) begins to exceed g(x) during the
interval x = 1 and x = 2.
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