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Chapter 4: Functions (operations of functions (sum (+): add the functions,…
Chapter 4: Functions
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symmetry
x-axis: (x, -y) not a function, as it violates vertical line test.
y-axis: (-x, y) only on even functions, often like those to an even power
y=x: (y, x) self inverse functions, as it is its own inverse
origin: (-x, -y) odd function, usually has an odd power
transformations
stretches: multiply either x or y in order to stretch or shrink an aspect of the graph by a certain amount
(x, y) ---> (2x, y/3), horizontal stretch by 2, vertical shrink by 3
reflections: a flipping of a function over a certain line, such as an axis.
(x, y) ---> (-x, y), reflection over the y-axis
translations: adding a number to either the x or the y to move a function, without changing its shape
(x, y) ---> (x+4, y-7), right 4 units, down 7
Inverses: functions that undo each other, switch x and y in equation, domain, and coordinates
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