Math Problem Statement
Find the domain, range, and vertex for each absolute value function provided on the worksheet.
Solution
The image you uploaded contains a worksheet on graphing absolute value equations, which asks to find the domain, range, and vertex for each function. Here's how to approach each problem:
General form of an absolute value function:
- Vertex:
- Domain: Always since absolute value functions are defined for all .
- Range: Depends on (if , the function opens upward; if , it opens downward).
Now, let’s solve the first few problems:
9.
- Vertex: Since there is no shift in or , the vertex is at .
- Domain: ( (-\infty,
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Math Problem Analysis
Mathematical Concepts
Absolute Value Functions
Graphing
Algebra
Formulas
General Form of Absolute Value Function: y = a |x - h| + k
Theorems
-
Suitable Grade Level
Grades 9-12
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