# Algebra 2: Functions Test #1

```Algebra 2
Name ______________________________
Review Unit 1: Function Forecast
Class Period _______________
Test Date: ______________
1.
Given the relation: {(-6, 3), (1, 5), (3, 0), (-2, 1), (-2, 4)} D: {-6, -2, 1, 3} R: {0, 1, 3, 4, 5}
a) State the domain and range of the relation.
Not a function because the x-value of -2
b) Determine whether the relation is a function and explain.
repeats.
c) Create a mapping diagram and a graph of the relation
Mapping:
Graph:
0
1
3
4
5
-6
-2
1
3
2. Given the graph below
a) State the domain and range of the relation (use both interval AND set notation).
b) Determine whether the graph represents only a relation or a function and explain.
y

Domain: -5 &lt; x ≤ 5 or (-5, 5]


Range: -3 ≤ y ≤ 3 or [-3, 3]


Function or Relation: Function
x












Explain: A vertical line crosses


graph in only one place at a time


Identify each of the following functions as discrete or continuous.
3. The distance a runner has covered in a
marathon of 26 miles.
4. The number of coins in a wishing well on any
given day.
Continuous
Discrete
5. Given f ( x) 
a. f(6) = 4
2 x  4 , find
b. f(-1.5) = 1
6. Given
f ( x)  7 x  5 , find
a. f(-2) = 19
b. f(3) = 16
7. Describe the
transformation(s) that have
occurred to the graph of
the parent function
f ( x) | x | in the following:
f ( x) | x  5 | 1
The graph shifts to
the right 5 units
and then down 1
unit.
Given the parent function
f ( x) | x | and a verbal
description, write an
equation for the following:
reflected across the x-axis,
vertically compressed by a
factor of &frac12;, right 3 units, and
up 4 units
8. Graph the function indicated
on the grid below.
f ( x)  2 | x  3 | 1
1
𝑦 = − |𝑥 − 3| + 4
2
For each of the given parent functions, give its name, sketch a graph, and name the domain and
range in both set and interval notation.