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)

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) = 1 / (x - 5) 
OR  f(x) = (x - 5)^-1

• [5, oo)

• (5, oo)

• (-oo, oo)

• (-∞,5) (5,∞)

Fidn the domain.

• [-7, ∞)

• (-∞, -7]

• All real numbers except for x=-7

• All real numbers except for x=0

What is the domain of the graph?

• [1,∞)

• (-∞,1]

• (-∞,∞)

• [-∞,∞]

Find the domain of f(x)

• (-∞, ∞)

• [3,∞)

• (-∞,3]

• (3,∞)

• (-∞,3)

Determine the domain of the function above.

• all real numbers

•   all real numbers, x ≠ 5, 2

•   all real numbers, x ≠ -5, -2

•   all real numbers, x ≠ 3, 4

•   all real numbers, x ≠ -3, -4

What is the domain of the graph?

• (-∞,∞)

• (-2, ∞)

• (0,∞)

• (-∞,2)