Lesson 2
Function
Domain
Range
NOTATION
Real-Valued Functions of a Real Variable
EXAMPLE
PPT Slide
Leonard Euler (1707 - 1783)
Independent Variable
Dependent Variable
Domain Restrictions...
...Domain Restrictions
Convention...
...Convention
Graph
Graphing
Sums, Differences, Products, and Quotients
Example f(x) = x2, g(x) = x -1
Composite Function
Composite of g and f
SOLUTION
NOTE
Even function
Odd function
Basic Trigonometric Functions - Even
Basic Trigonometric Functions - Odd
Piecewise Defined Function
Greatest Integer Function
Least Integer Function
CHANGING AN EQUATION TO SHIFT ITS GRAPH
VERTICAL AND HORIZONTAL SHIFT FORMULAS (cɬ)
DEFINITIONS
STANDARD EQUATION FOR THE CIRCLE OF RADIUS r CENTERED AT POINT C(h, k):
INTERIOR OF A CIRCLE
EXTERIOR OF A CIRCLE
PARABOLA
PARABOLA THAT OPENS UPWARD
AXIS OF SYMMETRY
VERTEX
y = x2 / 4p
PARABOLAS THAT OPEN DOWNWARD
y = -x2 / 4p
y = ax2
y = a(x - h)2
y - k = a(x - h)2
y = ax2 + bx + c, a = 0
SOLUTION… y = (-1/4)x2 + 2x + 4
PARABOLAS THAT OPEN TO THE RIGHT OR LEFT
x = ay2
SOLVING x = y2 FOR y
REFLECTIVE PROPERTIES OF PARABOLAS...
...REFLECTIVE PROPERTIES OF PARABOLAS
PARABOLAS ALSO USED IN
MATH 1910
Email: ondis.bible@volstate.edu
Home Page: http://www2.volstate.edu/obible
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