Precalculus function domains

Identify the domain:
f(x) = x

• (-oo, oo)
• x ≠ 0
• (-oo, 0]
• [0, oo]

Identify the domain:
f(x) = x² + 4x + 3

• [3, oo)
• (-oo, 3]
• x ≠ 3
• (-oo, oo)

Tags

CCSS.HSF.IF.B.5

Identify the domain:
f(x) = x² - 1

• (-oo, -1) U (1, oo)
• x ≠ -1, 1
• (-oo, oo)
• [-1, oo)

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

Identify the domain:
f(x) = √x

• (-oo, oo)
• [0, oo)
• (0, oo)
• x ≠ 0

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Identify the domain:
f(x) = √(x - 2) 
OR  f(x) = (x - 2)^1/2

• (-oo, oo)
• x ≠ 2
• [2, oo)
• (2, oo)

Identify the domain:
f(x) = √(x + 3)
OR  f(x) = (x + 3)^1/2

• x ≠ -3
• (-oo, oo)
• (-3, oo)
• [-3, oo)

Identify the domain:
f(x) = √(x - 2) + 1
OR  f(x) = (x - 2)^1/2 + 1

• [2, oo)
• (-oo, oo)
• x ≠ 2
• [1, oo)

Identify the domain:
f(x) = 1 / x

• (-oo, oo)
• (0, oo)
• x ≠ 0
• [0, oo)

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

Identify the domain:
f(x) = 1 / (x - 5) 
OR  f(x) = (x - 5)^-1

• [5, oo)
• (5, oo)
• (-oo, oo)
• x ≠ 5

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

Identify the domain:
f(x) = 1 / √x 
OR  f(x) = x^-1/2

• (0, oo)
• [0, oo)
• (-oo, 0] U [0, oo)
• x ≠ 0