## Math Problem Statement

Find the domain and the range of the function.
f left parenthesis x right parenthesis equals StartSet Start 2 By 1 Matrix 1st Row 1st Column one sixth x comma for x less than 0 2nd Row 1st Column x plus 4 comma for x greater than or equals 0 EndMatrixf(x)=
1
6x, for x<0 x+4, for x≥0

Question content area bottom
Part 1
Choose the correct domain.
A.
(0,infinity∞)
B.
(minus−infinity∞,infinity∞)
C.
(minus−infinity∞,0) and (44,infinity∞)
D.
(minus−infinity∞,0) and (0,infinity∞)
Part 2
Choose the correct range.
A.
(minus−infinity∞,infinity∞)
B.
[44,infinity∞)
C.
(minus−infinity∞,0) and [44,infinity∞)
D.
(minus−infinity∞,0] and (44,infinity∞)

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Piecewise Functions

Domain and Range

Linear Functions

### Formulas

f(x) = (1/6)x for x < 0

f(x) = x + 4 for x ≥ 0

### Theorems

Piecewise Function Range Calculation

### Suitable Grade Level

Grades 9-11

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