Math Problem Statement
What is the function f(x) = x + 3 and how does it behave?
Solution
The given function is:
This is a linear function of the form , where:
- (slope)
- (y-intercept)
This function represents a straight line with a slope of 1, meaning it increases at a 45-degree angle. The graph of crosses the y-axis at .
Would you like me to evaluate this function for specific values of , find its inverse, or explore related concepts?
Related Questions:
- What is the graph of and how does it look?
- How do we determine the inverse of ?
- What is the domain and range of ?
- How does the function transformation affect ?
- How do you find the x-intercept of this function?
Tip: The slope of a function tells you how fast it increases or decreases. In this case, , meaning for every unit increase in , increases by 1.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Function Graphing
Formulas
f(x) = mx + b (Slope-Intercept Form)
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 6-9