“Mathematical Knowledge for Teaching” VOLUME 2 - AMESA

(c)(d)Use the values in the table and write the values as a set of ordered pairs.In the above relationship, which is the dependant and which is theindependent variable? Why?(e) In your own words, explain what you understand by the terms function,domain and range. Refer to the set of values represented in the table.Suppose we want to make x the subject of the equation/formula…(f) Complete the table:y 2 -values 8 4 2 1 0,5 0,25 0,125x- values(g) Write out a rule/formula which will represent the x –value when the y 2 –value is known(h) Would you consider this new relationship to be a function?(i) What is the domain and range of this new relationship?(j)(k)(l)(m)(n)(o)(p)In the above relationship, which is the dependent and independentvariable? Why?Write out the ordered pairs for this relationship, in accordance with therules stated above.If you compare these ordered pairs with the ordered pairs in (c), do younotice the pattern?Describe this pattern in your own words.Draw graphs, on the graph paper provided, of the two relationships (indifferent colors) on the same system of axes. Use the tables to help you.Do these graphs intersect? If they do, where?Draw the line y=x on your graph (use a dotted line). Mark off the points(1 ; 0,5) and (0,5 ; 1) on your graphs. Measure the perpendicular distanceof each point to the line y=x. What do you notice and what conclusioncan you draw about the line y=x?127