Math Problem Statement
Find the zero of the function.
Find the zero of the function.
Solution
The function given in the image is:
To find the zero of the function, we need to determine the value of that makes .
For the absolute value function, , the function equals zero when the expression inside the absolute value is zero:
Solving for :
So, the zero of the function is .
Would you like further details or have any questions? Here are five related questions you might find useful:
- What is the general form of an absolute value function?
- How do you find the zero of a function with absolute values?
- What are the properties of the absolute value function?
- How would the graph of look?
- Can an absolute value function have more than one zero?
Tip: When dealing with absolute value functions, always consider the point where the expression inside the absolute value becomes zero, as it often indicates a critical point such as a zero or vertex of the graph.
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value Functions
Formulas
y = |x + 5|
Theorems
Property of Absolute Value
Suitable Grade Level
Grades 8-10