Compare and Contrast: Linear vs Quadratic 2. Using the included equations, Compare a Linear and Quadratic: Domain and Range f (x) = x + 3)/2 and g(x) = 2x + 6 Linear: Domain and Range are all real numbers. Quadratic: Domain is all real numbers and Range is all y values greater than or equal to 0 Both have the same Domain and Range: all real numbers Linear: Domain: x>2 Range: y>6. Quadratic: Domain and Range: all real numbers
Based on the given equations, the comparison between the linear and quadratic functions can be summarized as follows:
1. Domain:
- Linear function: The domain of f(x) = (x + 3)/2 is all real numbers.
- Quadratic function: The domain of g(x) = 2x + 6 is also all real numbers.
Both functions have the same domain of all real numbers.
2. Range:
- Linear function: The range of f(x) = (x + 3)/2 is y > 6.
- Quadratic function: The range of g(x) = 2x + 6 is all y values greater than or equal to 0.
The range of the linear function is all y values greater than 6, while the range of the quadratic function is all y values greater than or equal to 0.
In summary, both functions have the same domain of all real numbers, but the range of the linear function is limited to y values greater than 6, while the range of the quadratic function is all y values greater than or equal to 0.