Algebra 1
Unit 2 Graphing Linear Functions
2.1 Day 2 Domain and Range
Mathematician: ________________________________
Period:___________
LEVEL: EMERGING
Directions: Find the domain, range of the given graph. Write your answers in set notation.
1)
2)
3)
Domain: _____________________________
Domain: _____________________________
Domain: _____________________________
Range: _______________________________
Range: _______________________________
Range: _______________________________
4)
5)
6)
Domain_____________________________
Domain_____________________________
Domain_____________________________
Range: _______________________________
Range: _______________________________
Range: _______________________________
LEVEL: PROFICIENT
Directions: Using the given graph, identify the domain of the graph where it is increasing or decreasing.
7)
8)
9)
Increasing: _____________________________ Increasing: _____________________________ Increasing: _____________________________
Decreasing: ____________________________
Decreasing: ____________________________
Decreasing: ____________________________
Directions: Answer the following questions about the given graph.
10)
11)
(a) What is the Domain?
(a) What is the Domain?
(b) What is the Range?
(b) What is the Range?
(c) What is 𝑓(4)?
(c) What is 𝑓(8)?
(d) If 𝑓(𝑥) = −2, what is 𝑥?
(d) If 𝑓(𝑥) = 7, what is 𝑥?
(e) Is the graph decreasing over the domain of
{𝑥 ∈ ℝ|3 ≤ 𝑥 ≤ 5}?
(e) Is the graph increasing over the domain of
{𝑥 ∈ ℝ|2 ≤ 𝑥 ≤ 4}?
(f) Is the graph increasing over the domain of
{𝑥 ∈ ℝ|0 ≤ 𝑥 ≤ 1}?
(f) Is the graph decreasing over the domain of
{𝑥 ∈ ℝ|−2 ≤ 𝑥 ≤ 2}?
LEVEL: MASTERY
Directions: Graph a function with the given criteria.
12) Domain is {𝑥 ∈ ℝ|−4 ≤ 𝑥 ≤ 3}
Range is {𝑦 ∈ ℝ|−3 < 𝑦 ≤ 7}
𝑓(−4) = −3
Function is increasing
Algebra 1 Worksheet 2.1 Day 2 Solutions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Domain: {𝑥 ∈ ℝ|x = 3}
Range:: {𝑦 ∈ ℝ|𝑦 = −2}
Domain: {𝑥 ∈ ℝ|𝑥 = 0}
Range:: {𝑦 ∈ ℝ|𝑦 = −3}
Domain: {𝑥 ∈ ℝ|𝑥 = −4,1}
Range:: {𝑦 ∈ ℝ|𝑦 = 0}
Domain: {𝑥 ∈ ℝ|0 ≤ 𝑥 ≤ 3}
Range:: {𝑦 ∈ ℝ| − 3 ≤ 𝑦 ≤ 4}
Domain: {𝑥 ∈ ℝ| − 3 ≤ 𝑥 ≤ 4}
Range:: {𝑦 ∈ ℝ| − 3 ≤ 𝑦 ≤ −1}
Domain: {𝑥 ∈ ℝ| − 3 ≤ 𝑥 ≤ 3}
Range:: {𝑦 ∈ ℝ| − 4 ≤ 𝑦 ≤ 2}
Increasing: None
Decreasing: {𝑥 ∈ ℝ|0 ≤ 𝑥 ≤ 3}
Increasing: {𝑥 ∈ ℝ| − 3 ≤ 𝑥 ≤ 4}
Decreasing: None
Increasing: {𝑥 ∈ ℝ| − 3 ≤ x ≤ −1} Decreasing: {𝑥 ∈ ℝ| − 1 ≤ x ≤ 3}
a.
b.
c.
d.
e.
f.
Domain: {𝑥 ∈ ℝ| − 6 ≤ 𝑥 ≤ 8}
Range: {𝑦 ∈ ℝ| − 6 ≤ 𝑦 ≤ 4}
𝑓(4) = −1
𝑥=5
Yes
Yes
a. Domain: {𝑥 ∈ ℝ| − 4 ≤ 𝑥 ≤ 8}
b. Range: {𝑦 ∈ ℝ| − 4 ≤ 𝑦 ≤ 7}
c. 𝑓(8) = −2
d. 𝑥 = 1
e. No
f. No