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A function diagram is yet another representation, with parallel x and y axes. Each (x, y) pair is represented by a line segment connecting the input point on the x axis to the output point on the y axis.
The diagram shows the graph of y = f(x) which is defined for −2 ≤ x ≤ 2. Labelling the axes in a similar way, sketch on separate diagrams the graphs of a y = 3f( x ), (2)
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2.9 Even and odd functions. Definition: A function, y = f(x), is even if f(x) = f( x) for all x in the domain of f. −. Geometrically, an even function is symmetrical about the y-axis (it has line symmetry). The function f(x) = x2 is an even function as f( x) = ( x)2 = x2 = f(x) for all values. − −.
(a) sketch the graph of y = f(x) + 3 and state the equations of the asymptotes. (4) (b) Find the coordinates of the point where y = f(x) + 3 crosses a coordinate axis.
26 Σεπ 2019 · The Textbook Exercise on x= and y= graphs. Next: Parallel Lines and Perpendicular Lines Textbook Exercise