# DOMAIN AND RANGE OF ABSOLUTE VALUE FUNCTIONS FROM GRAPH WORKSHEET

From each graph :

(i)  Find vertex and write a function

(ii) State the domain and range

(iii) Intercept

(iv) axis of symmetry

Problem 1 :

Solution

Problem 2 :

Solution

1)

Domain :

All real value is domain.

Range :

[0, ∞), y ≥ 0

Axis of symmetry :

x = -1

Maximum / Minimum :

Minimum

2)

Domain:

All real value is domain.

Range:

[1,-∞), y ≤ 1

Axis of symmetry:

x = 3

Maximum / Minimum

Maximum

Write the equation of the graph. Then give its range as an inequality.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

1)

y = 1 |x +1| + 2

Range is 2 ≤ y ≤ ∞

2)

y = -1 |x + 3| - 2

Range is -2 ≤ y ≤ -∞

3)

y = -2 |x - 2| + 3

Range is 3 ≤ y ≤ -∞

4)

y = (1/2) |x + 2| - 3

Range is -3 ≤ y ≤ ∞

5)

y = (-3/4) |x - 1|

Range is 1 ≤ y ≤ -∞

6)

y = (2/3) |x + 2|

Range is -2 ≤ y ≤ ∞

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