g1.3--Piece-Wise Defined Functions & Parent Graph Transformations.pdf. g1.3--Piece-Wise Defined Functions & Pare
Pre-Calculus Honors
Piecewise-Defined Functions
Graph each function. Do not use a calculator. 1 x, x 0 f ( x) 2 x , x 0
x 2 , x 0 f ( x) 2, x 0 2 x 1 , x 0
Section 1.3
x 3 , x 0 f ( x) 3x 2, x 0
3 x, 3 x 0 f ( x) 5, x 0 x ,x 0
2 x 3 , x 1 f ( x ) 4 , 1 x 3 x 2 , x 3
Evaluate.
6 x, x 3 f ( x) 2 2 x , x 3
f (3)
f (7)
over
f (1)
Pre-Calculus Honors
Transformations of Curves
Section 1.3
Use the parent graph, f(x), in the first box to perform the indicated transformations. The parent graph is composed of the points {(−3,1), (0,1), (2,4), (6, −1)}. f(x) 𝑓(𝑥 − 2) 𝑓(−𝑥)
−𝑓(𝑥)
𝑓(𝑥) + 3
2𝑓(𝑥)
𝑓(−𝑥) + 1
−𝑓(𝑥 + 2)
f(x+2)-3
State the transformation in the order it should be performed. 3
1.
𝑓(𝑥) = − √7 − 𝑥 + 3 ________________________________________________________________
2.
𝑔(𝑥) = 7|𝑥 − 1|
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