Math Problem Statement
y=
∣x−3∣
Solution
The equation you've provided is:
This represents an absolute value function. The absolute value function outputs the positive version of any value inside it, regardless of whether it's positive or negative.
For this function:
- When ,
- When ,
The graph of this function is V-shaped and has its vertex at the point .
Would you like a detailed explanation on graphing or solving it for specific values of ?
Related Questions:
- What is the graph of ?
- How do you solve ?
- What are the properties of absolute value functions?
- How can you find the range of ?
- How would you modify the equation if there was a coefficient outside the absolute value?
Tip:
Remember, absolute value functions always yield non-negative outputs!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value Functions
Formulas
y = |x - 3|
y = x - 3 when x >= 3
y = 3 - x when x < 3
Theorems
Absolute Value Theorem
Suitable Grade Level
Grades 6-8