The function that relates the area of the pepper patch to the length of the
tomato patch in Melisa's garden is a quadratic function.
The correct matches 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
<h3>Details of the method used to obtain the correct match</h3>
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, <em>x</em>.
The y-intercept is the value of the function when the value of <em>x</em> = 0
The x-intercept is the value of the input variable, <em>x</em>, that gives an output of 0.
The probable function that represents the area of the bell pepper patch, obtained from a similar question posted online is presented as follows;
p(x) =<em> -0.5·x² + 6·x</em>
Where:
p(x) = The area of the bell pepper patch
x = The length of the tomato patch
The domain is therefore;
- <u>All possible</u><u> values of </u><u><em>x</em></u><u> which is the </u><u>length </u><u>of the </u><u>tomato patch</u>.
- The range is <u>all possible values of </u><u>p(x) </u><u>which is the </u><u>area of </u><u>the </u><u>bell pepper </u><u>patch</u>.
- The y-intercept is <u>the value of the function when the </u><u><em>x</em></u><u>, the length of the tomato patch is 0</u>.
- The x-intercept is the value of <em>x</em>, <u>the length of the tomato patch, when the function, p(x), the area of the bell pepper patch, is 0</u>.
Learn more about the domain and range of a function here:
brainly.com/question/108343