EOCT Review
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Unit 3 – Linear and Exponential Function - Part 1
Graphs and Sequences
A sequence is an ordered list of numbers. Each number
in the sequence is called a term.
 The terms are consecutive or identified as the first
term, second term, third term, and so
 on. The pattern in the sequence is revealed in the
relationship between each term and its
 term number, or in a term’s relationship to the
previous term in the sequence.

Key Ideas
1) A manufacturer keeps track of her monthly costs by
using a “cost function” that assigns a total cost for a
given number of manufactured items, x. The function is
C(x) = 5,000 + 1.3x.
a. Can any value be in the domain for this function?
b. What is the cost of 2,000 manufactured items?
c. If costs must be kept below $10,000 this month, what
is the greatest number of items she can manufacture?
Example

If f(12) = 4(12) – 20, which function gives
f(x)?
A. f(x) = 4x
B. f(x) = 12x
C. f(x) = 4x – 20
D. f(x) = 12x – 20
Example
The first term in this sequence is -1.
n
1
2
3
4
5...
an
-1
1
3
5
7...


Which function represents the sequence?
A. n + 1
B. n + 2
C. 2n – 1
D. 2n – 3
Example
x
f(x)
1
8
2
11
3
14
4
17
Which function is modeled
in this table?
A. f(x) = x + 7
B. f(x) = x + 9
C. f(x) = 2x + 5
D. f(x) = 3x + 5
Example
Example



A company makes plastic cubes with
sides that have lengths of 1 inch, 2
inches, 3 inches, or 4 inches.
The function f (x)= x3 represents the
relationship between x, the side length
of the cube, and f(x), the volume of the
cube.
The graph represents the function.
a. What is the domain of the function?
 b. What is the range of the function?
 c. If the company decided to make cubes with
a side length of m inches, what would be the
 volume of those cubes?

Questions to consider
Domain
 Range
 X-intercept
 Y-intercept
 Increasing
 Decreasing
 Positive/Neg
 Min/Max
 Rate of Change

Analyze a Function
Example

Which function represents the sequence?
A. f(n) = n + 3
 B. f(n) = 7n – 4
 C. f(n) = 3n + 7
 D. f(n) = n + 7

n
an
1
3
2
10
3
17
4
24
5
31
The points (0, 1), (1, 5), (2, 25), (3, 125)
are on the graph of a function. Which
equation represents that function?
A. f(x) = 2x
B. f(x) = 3x
C. f(x) = 4x
D. f(x) = 5x

Example