Math Problem Statement
draw the graph of sin |2x-1| +1
Solution
Here is the graph of the function . As you can see, the graph is periodic due to the sine function, and it shifts vertically by 1 unit because of the term. The absolute value inside the sine function introduces symmetry around , creating unique variations in the oscillations.
Would you like any further details or have questions about this graph?
Here are 5 related questions:
- What is the period of the function ?
- How does the graph of compare to ?
- What happens if we replace with in the function?
- How would the graph change if we modified the constant 1 outside the sine function?
- Can you find the maximum and minimum values of ?
Tip: The absolute value inside the sine function reflects portions of the graph, impacting symmetry and behavior of the function.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Absolute Value
Sine Function
Graph Transformations
Formulas
f(x) = sin|2x - 1| + 1
Theorems
Properties of Sine Function
Symmetry in Absolute Value Functions
Periodicity of Trigonometric Functions
Suitable Grade Level
Grades 10-12