Math Problem Statement
State the domain of the following function.
y=5x−9
Solution
The given function is .
This is a linear function of the form , where and . Since linear functions are defined for all real numbers, the domain of this function is the set of all real numbers.
Domain: (or )
Would you like more details on why the domain includes all real numbers?
Here are 5 related questions for practice:
- What is the range of the function ?
- How do you find the x-intercept of ?
- How do you find the slope of the line represented by ?
- If , what is the value of when ?
- What is the graph of the function like?
Tip: Linear functions always have a domain of all real numbers because there's no restriction on the values that can take.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Formulas
y = mx + b
Theorems
Linear functions have a domain of all real numbers
Suitable Grade Level
Grades 8-10