Math Problem Statement
is y=5x-1 a function? if so, list the domain and range
Solution
Yes, the equation is a function. Specifically, it's a linear function, because for every input , there is exactly one output .
Domain:
The domain of the function refers to all possible values of . Since is a linear equation, there are no restrictions on ; it can take any real number. Therefore, the domain is:
Range:
The range of the function refers to all possible values of . As can take any real number, multiplying it by 5 and subtracting 1 will also produce any real number. Therefore, the range is:
Would you like further details or have any questions?
Related questions:
- What is the slope of the function ?
- How do you find the -intercept of ?
- How would you graph the function ?
- What is the inverse of the function ?
- How does the function compare to ?
Tip: In a linear function, the coefficient of is the slope, and it tells you how steep the line is.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Domain and Range
Formulas
Linear equation formula y = mx + b
Theorems
Function Definition
Suitable Grade Level
Grades 8-10