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Algebra I: Chapter 3 Test Study Guide
Chapter 2 Vocabulary
Relation
Function notation
Function Rule
Domain
Range
Independent Variable
1) What are the ordered pairs for the given relation?
Dependent Variable
2) What is the domain?
Function
3) What is the range?
4) Is it a function?
Things to know:
Graph a relation on the coordinate plane
Given f(x) = 3x +4 and g(x) = 2𝒙𝒙 + 5
Make a table, graph or map given ordered pairs
5) find f( -2)
Write ordered pairs given a graph, a map, or a table
6) find f( x + 3)
Evaluating Functions
7) find g(-3)
How to find f(x) given a value for x.
8) find g(6)
How to find f(x) given a graph.
Properties of Functions
How to find domain and range
given ordered pairs
How to find domain and range
on a continuous graph
How to use vertical line test to determine
if the relation is a function
9) What is the domain of the function above?
Transformations
Know parent graphs, y=x, y=IxI, y=x2
Know reflection flips a graph by
multiplying the parent graph by -1
10) What is the range of the function?
11) what is f(2)?
12) What is f(7)?
Know how to shift a parent graph left and right
Know how to shift a parent graph up or down
Use the graph to answer 13-16
Use the graph to answer questions 24 & 25
13. What is the parent graph?
24) What is the parent graph?
14. What is the equation for this function?
25) What is the equation for this function?
15. What is the domain?
16. What is the range?
Use an input-output table to graph 26
26) y=2x2 +4
17. What is the parent graph of the graph above?
18. What is the equation for this function?
19) What is the domain?
20) What is the range?
Use the table below to answer complete 27 & 28
Use the table below to complete 21-23
x
1
2
3
4
y
4
7
12
19
21) What is the Domain of the relation above?
22) What is the Range?
23) Which is the equation for this function?
a. y = 2x +3
b. y = x2 +3 c. y = IxI +3
x
1
2
3
4
y
3
5
7
9
27) Observe the pattern from x to y, write an equation
28) Sketch this graph. .
Unit 3 Study Guide Answers
1)
(0, -2), (0,1),(1,2),(2,1),(3,4)
2)
D: {0,1,2,3}
3)
R: {-2,1,2,4}
4)
No
5)
F(-2) = -2
6)
F(x+3) = 3x +13
7)
G(-3) = 23
8)
G(6) = 77
9)
0< x < 7
10) -2< y <4
11) f(2) = 4
12) f(7) = 0
13) y= x2
14) y= (x-2)2 -1
15) D: All Real Numbers
16) R: y > 1
17) Y = |𝑥|
18) 𝑦 = −|𝑥| + 3
19) D: All Real Numbers
20) R: y < 3
21) D: { 1,2,3,4}
22) R: {4,7,12,19}
23) B: y = x2 + 3
24) Y = x
25) Y = x-1
26) Y = 2x2 +4
27) Y = 2x +1
28)