Question

Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be used.
x-intercepts -
domain -
range -
y-intercept-

Answer 1

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 $\longrightarrow$ Length of the tomato patch when the area of the bell pepper patch is 0

• Domain $\longrightarrow$ All possible lengths of the tomato patch

• Range $\longrightarrow$ All possible areas of the bell pepper patch

• y-intercept $\longrightarrow$ Area of the bell pepper patch when the length of the tomato patch is 0

Details of the method used to obtain the correct match

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.

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) = -0.5·x² + 6·x

Where:

p(x) = The area of the bell pepper patch

x = The length of the tomato patch

The domain is therefore;

• 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.

Learn more about the domain and range of a function here:

brainly.com/question/108343