DOMAIN AND RANGE OF ABSOLUTE VALUE FUNCTIONS WORKSHEET
Find the domain and range of each function
Problem 1 :
y = |x|
Problem 2 :
y = -|x|
Problem 3 :
y = │x + 2│+ 3
Problem 4 :
y = │x│- 5
Problem 5 :
y = -│x│- 9
Problem 6 :
y = -│x - 3│+ 10
Answer Key
1) Domain : (-∞, ∞), x ∈ R and Range : [0, ∞), y ≥ 0
2) Domain : (-∞, ∞), x ∈ R and Range : [0, -∞), y ≤ 0
3) Domain: (-∞, ∞), x ∈ R and Range: [3, ∞), y ≥ 3
4) Domain: (-∞, ∞), x ∈ R and Range: [-5, ∞), y ≥ -5
5) Domain: (-∞, ∞), x ∈ R and Range: [-9, -∞), y ≤ -9
6) Domain: (-∞, ∞), x ∈ R and Range: [10, -∞), y ≤ 10
Write the equation of the graph. Then give its range as an inequality.
Problem 1 :
Problem 2 ::
Problem 3 :
Problem 4 :
Problem 5 :
Problem 6 :
Answer Key
|
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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