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Questions and Answers
What is the correct equation for the given points?
What is the correct equation for the given points?
- f(x)=2x + 3
- f(x)=x^{1/2} (correct)
- f(x)=x^2
- f(x)=1+3 ext{ square root }x (correct)
What is the equation represented by f(x)=x'1/2?
What is the equation represented by f(x)=x'1/2?
f(x)=x^{1/2}
What is the equation represented by f(x)=1+ '3 square root x?
What is the equation represented by f(x)=1+ '3 square root x?
f(x)=1+3 ext{ square root }x
What does f(x) represent in the context of these equations?
What does f(x) represent in the context of these equations?
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Study Notes
Understanding Functions and Equations
- Selecting the appropriate equation or inequality is crucial for representing functional relationships based on given points.
Function Representation
- f(x) = x^(1/2) represents a square root function, indicating the output is the square root of the input value x.
- It is defined for x ≥ 0, as square roots of negative numbers are not real numbers.
Another Function Example
- f(x) = 1 + 3√x indicates a function that combines a constant (1) and a term scaled by the square root of x.
- This function is also defined for x ≥ 0 and represents a transformation of the square root function.
General Points of Function Definition
- Each given function can be analyzed by plugging in different x values to observe how the output changes, helping to visualize their graphs and behaviors.
- Understanding the domain and range of these functions is essential in algebra for solving inequalities and equations effectively.
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