Question

range notation - practice
for each graph give the domain and range in a) interval notation and b) inequality notatio
1.

a. interval notation
domain-
range-

b. inequality notation
domain-
range-

2.

a. interval notation
domain-
range-

b. inequality notation
domain-
range-

3.

a. interval notation
domain-
range-

b. inequality notation
domain-
range-

4.

a. interval notation
domain-
range-

b. inequality notation
domain-
range-

5.

a. interval notation
domain-
range-

b. inequality notation
domain-
range-

6.

a. you cant use interval notation for a
set of discrete points.
can you use set notation? _____
can you state it as an inequality? _____

Explanation:

Graph 1

Step1: Identify domain (x-values)

The leftmost x is -6, rightmost x is 6.
Domain (interval): $[-6, 6]$

Step2: Identify range (y-values)

Lowest y is -2, highest y is 6.
Range (interval): $[-2, 6]$

Step3: Write domain inequality

$-6 \leq x \leq 6$

Step4: Write range inequality

$-2 \leq y \leq 6$

---

Graph 2

Step1: Identify domain (x-values)

Leftmost x is -4, rightmost x is 4.
Domain (interval): $[-4, 4]$

Step2: Identify range (y-values)

Lowest y is 1, highest y is 7.
Range (interval): $[1, 7]$

Step3: Write domain inequality

$-4 \leq x \leq 4$

Step4: Write range inequality

$1 \leq y \leq 7$

---

Graph 3

Step1: Identify domain (x-values)

Leftmost x is -4, rightmost x is 4.
Domain (interval): $[-4, 4]$

Step2: Identify range (y-values)

Lowest y is -4, highest y is 4.
Range (interval): $[-4, 4]$

Step3: Write domain inequality

$-4 \leq x \leq 4$

Step4: Write range inequality

$-4 \leq y \leq 4$

---

Graph 4

Step1: Identify domain (x-values)

Leftmost x is -6, rightmost x is 0.
Domain (interval): $[-6, 0]$

Step2: Identify range (y-values)

Lowest y is -6, highest y is 6.
Range (interval): $[-6, 6]$

Step3: Write domain inequality

$-6 \leq x \leq 0$

Step4: Write range inequality

$-6 \leq y \leq 6$

---

Graph 5

Step1: Identify domain (x-values)

Leftmost x is -4, rightmost x is 2.
Domain (interval): $[-4, 2]$

Step2: Identify range (y-values)

Lowest y is -5, highest y is 1.
Range (interval): $[-5, 1]$

Step3: Write domain inequality

$-4 \leq x \leq 2$

Step4: Write range inequality

$-5 \leq y \leq 1$

---

Graph 6

Step1: Answer set notation question

Discrete points use set notation.
Set notation answer: Yes

Step2: Answer inequality question

Inequalities describe continuous ranges, not discrete points.
Inequality answer: No

Answer:

Graph 1

a. Interval notation
domain: $[-6, 6]$
range: $[-2, 6]$
b. Inequality notation
domain: $-6 \leq x \leq 6$
range: $-2 \leq y \leq 6$

Graph 2

a. Interval notation
domain: $[-4, 4]$
range: $[1, 7]$
b. Inequality notation
domain: $-4 \leq x \leq 4$
range: $1 \leq y \leq 7$

Graph 3

a. Interval notation
domain: $[-4, 4]$
range: $[-4, 4]$
b. Inequality notation
domain: $-4 \leq x \leq 4$
range: $-4 \leq y \leq 4$

Graph 4

a. Interval notation
domain: $[-6, 0]$
range: $[-6, 6]$
b. Inequality notation
domain: $-6 \leq x \leq 0$
range: $-6 \leq y \leq 6$

Graph 5

a. Interval notation
domain: $[-4, 2]$
range: $[-5, 1]$
b. Inequality notation
domain: $-4 \leq x \leq 2$
range: $-5 \leq y \leq 1$

Graph 6

Can you use set notation? Yes
Can you state it as an inequality? No