Task 2. Before working on this task 2, please read the following readings:

• Reading section1.2 Functionsof the following textbook will help you in understanding the concepts better.

Yoshiwara, K. (2020).Modeling, functions, and graphs.American Institute of Mathematics.https://yoshiwarabooks.org/mfg/colophon-1.html

Imagine that the export of Avocados from Indonesia is described by the relation:

E(P) = P - 10000, P?10000 where P represents the production (in thousand) of Avocados.

On the basis of the above scenario, answer the following questions:

(i) Draw the graph of E(P).

(Use graphing tool for drawing the graphs, use a scale where each unit represents one thousand on both the X and Y axes (Ex: consider 1= 1000)).

Using the graph:

(ii) Determine if E(P) is a function of P.

(iii) Find the domain and range of E(P).

(iv) Find how much export is done for 70 and 20 thousand of production.

(v) What are dependent and independent variables in this problem?

Task 3.The following graph (representing f and g) illustrates the relationship between the weights (y in tons) of two animals and their respective lengths (x in feet).

(i) In the event of intersection on the graph, determine the rates of change in length concerning weight for both categories. What conclusions can be drawn from this?

(ii) Select any two points on each of the graphs f and g (designated as C and D on f, and E and F on g, excluding O and A), and calculate the slopes of the lines CD and EF connecting them. What insights can be inferred about their slopes within the context of the problem? Please discuss your findings.

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