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|

___________________________________________________________________

Piece-Wise Defined Functions & Parent Graph Transformations.pdf

g1.3--Piece-Wise Defined Functions & Parent Graph Transformations.pdf. g1.3--Piece-Wise Defined Functions & Parent Graph Transformations.pdf. Open.

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