The real-world descriptions with the features they represent are
- x-intercepts Length of the tomato patch when the area of the bell pepper patch is 0
- Domain All possible lengths of the tomato patch
- Range All possible areas of the bell pepper patch
- y-intercept Area of the bell pepper patch when the length of the tomato patch is 0
Matching the real-world descriptions with the features they represent
By definition of the terms, we have;
- The range of a function is the set of values of the possible outcomes based on the set of inputs.
- The domain of a function is the set of all possible values of the input variable, x.
- The y-intercept is the value of the function when the value of x = 0
- The x-intercept is the value of the input variable, x, that gives an output of 0.
Also, we have the probable function to be
p(x) = -0.5x² + 6x
Where:
p(x) = The area of the bell pepper patch
x = The length of the tomato patch
Using the above as a guide, we have the following:
- The domain is: All possible values of x which is the length of the tomato patch.
- The range is: All possible values of p(x) which is the area of the bell pepper patch.
- The y-intercept is: The value of the function when the x, the length of the tomato patch is 0.
- The x-intercept is: The value of x, the length of the tomato patch, when the function, p(x), the area of the bell pepper patch, is 0.