Since F is written in terms of C, it is easiest for ou to first substitute in a value for C, and then evaluate the epression to determine the value of F. For eample, in the previous equation, F is written in terms of C making C the independent variable and F the dependent variable. If it s not too difficult, we find it useful to epress one variable in terms of the other. If the variable C represents degrees Celsius and the variable F represents degrees Fahrenheit, this relationship can be epressed b the following equation that converts Celsius to Fahrenheit: F 9_ 5 C.Ģ Man mathematical relationships concern how two sets of numbers relate to one another and often the best wa to epress this is with an algebraic equation in two variables. A temperature recorded in one scale can be converted to a value in the other scale, based on the fact that there is a constant relationship between the two sets of numbers in each scale. Two of the more commonl used are the Celsius scale and the Fahrenheit scale. Relations and functions Relations There are different scales for measuring temperature. A citizen of the USA travelling to other parts of the world will need to convert from degrees Celsius to degrees Fahrenheit. The United States uses the earlier Fahrenheit scale, invented b the Dutch scientist Gabriel Daniel Fahrenheit (686-76). Most countries ecept the United States use the Celsius scale, invented b the Swedish scientist Anders Celsius (70-7). Quadratic functions are treated graphicall and algebraicall. We also investigate composite and inverse functions, and transformations such as translations, stretches and reflections. Introduction This chapter looks at functions and considers how the can be used in describing phsical phenomena. The form a( p)( q): -intercepts (p, 0) and (q, 0).6 The solution of a b c 0, a 0. The reciprocal function, 0: its graph its self-inverse nature.5 The quadratic function a b c: its graph, -intercept (0, c), ais of smmetr _ b a. The graph of f () as the reflection in the line of the graph f (). Transformations of graphs: translations stretches reflections in the aes. Function graphing skills: use of a GDC to graph a variet of functions investigation of ke features of graphs. The graph of a function its equation f (). Composite functions (f g) identit function. Concept of function f : f () domain, range, image (value). 1 Functions and equations Assessment statements.

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