# Algebra 1: Chapter 4, An Introduction to Functions Study Guide ```Algebra 1: Chapter 4, An Introduction to Functions Study Guide
Study Guide for Chapter 4 Test: Friday, December 4th
4.1: Using Graphs to Relate Two Quantities - Be able to represent mathematical relationships using graphs.
Directions: Sketch a graph to represent each situation. Label each situation.
The number of pounds compared to the total cost
Your pulse rate as you watch a scary movie
4.2: Patterns and Linear Functions - Be able to identify and represent patterns that describe linear functions.
Directions: For each table below, determine whether the relationship is a linear function. Then represent the
relationship using words, an equation, and a graph.
X/Y Table:
X
0
1
2
3
Y
-3
2
7
12
Gas in Tank Table:
Miles Traveled, X
0
17
34
51
Words:
Words:
Equation:
Equation:
Graph:
Graph:
Gallons of Gas, Y
11.2
10.2
9.2
8.2
4.3: Patterns and Nonlinear Functions - Be able to identify and represent patterns that describe nonlinear
functions.
Directions: Each set of ordered pairs represents a function. Write a rule that represents the function.
What is the rule for the function
represented by the ordered pairs
(1, 2), (2, 16), (3, 54), (4, 128), (5,
250)?
What is the rule for the function
What is the rule for the function
represented by the ordered pairs (- represented by the ordered pairs
2, 1), (-1, -2), (0, -3), (1, -2), (2, 1)?
(1, 1), (2, 4), (3, 9), (4, 16), and (5,
25)?
4.4: Graphing a Function Rule - Be able to graph equations that represent functions.
Directions: Graph each function rule.
y = 10x
y = 9 – 2x
y = 3x + 2
4
4.5: Writing a Function Rule - Be able to write equations that represent functions.
Directions: Write a function rule that represents each situation.
C is 8 more than half of n.
2.5 more than the
quotient of h and 3 is w.
The price (p) of a pizza is
\$6.95 plus \$.95 for each
topping (t) on the pizza.
The almond extract (a)
remaining in an 8-ounce
bottle decreases by 1/6
ounce for each batch (b)
4.6: Formalizing Relations and Functions - Be able to determine whether a relation is a function and be able
to find the domain and range and use a function notation.
Directions: Find the domain and range of each relation.
Identify the domain and
range: {(6, -7), (5, -8),
(1,4), (7, 5)}
Identify the domain and
range: {(4, 2), (1,1), (0,0),
(1, -1), (4, -2)}
Is this relation a function? Is this relation a function?
Find the range of each
function for the given
domain:
g(x) = -4x + 1
{-5, -1, 0, 2, 10}
Find the range of each
function for the given
domain:
f(x) = 8x -3
{ -1/2, &frac14;, &frac34;, 1/8}
4.7: Arithmetic Sequences - Be able to identify and extend patterns in sequences and to represent arithmetic
sequences using function notation.
Directions: Tell whether the sequence is arithmetic. If it is, identify the common difference.
-9, -17, -26, -33, …
2, 11, 21, 32, …
0.2, 1.5, 2.8, 4.1, …
15, 14.5, 14, 13.5, 13, …
***If you have any questions, please see Ms. Magan for help prior to the test!!! ***
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