1.6 A Library of Parent Functions
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1.6 A Library of Parent Functions I. Step and Piecewise-Defined Functions. A) Functions whose graphs resemble stair-steps are know as Step Functions . B) Greatest Integer Function: a step function. 1) Symbol f(x) = 2) It means the greatest integer (whole #) less than or equal to x. 3) Examples: x 2 5 . 1 0 2 1 2 5 . 2 1 1
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1.6 A Library of Parent Functions II. Parent Functions and their Graphs. A) Straight Line(s) Graphs: 1) y = mx + b or f(x) = mx + b (where b = the y-intercept, m = the slope) 2) Vertical lines: x = # 3) Horizontal lines: y = # or f(x) = # 4) Absolute value: y = or f(x) = a) It is V shaped. b) For the vertex is at (–B,C)
Transcript of 1.6 A Library of Parent Functions
1.6 A Library of Parent Functions
I. Step and Piecewise-Defined Functions.A) Functions whose graphs resemble stair-steps are
know as Step Functions.B) Greatest Integer Function: a step function.
1) Symbol f(x) = 2) It means the greatest integer (whole #) less than or
equal to x.3) Examples:
x
25.1
021
25.2 11
1.6 A Library of Parent Functions
II. Parent Functions and their Graphs. A) Straight Line(s) Graphs: 1) y = mx + b or f(x) = mx + b (where b = the y-intercept, m = the slope)2) Vertical lines: x = #3) Horizontal lines: y = # or f(x) = #4) Absolute value: y = or f(x) = a) It is V shaped.b) For
the vertex is at (–B,C)
x x
CBxAy
1.6 A Library of Parent Functions
II. Parent Functions and their Graphs. B) Curved Graphs:
1) Square root: y =
2) Cubed root: y =
3) Quadratic: y = x2
4) Cubic: y = x3
x
3 x
1.6 A Library of Parent Functions
II. Parent Functions and their Graphs. C) Special Graphs:
1) Reciprocal: y =
2) Greatest Integer: y =
3) Piece-wise: f(x) =
HW: page 71 # 37–49 odd, 53–60 all
x1
x
)()(xhxg
valuesdomainvaluesdomain__
