Piecewise-defined Functions

½ x – 2, x > 2

f(x) = 3, x = 1

–2x + 3, –2 ≤ x < 1

Ex. 1: x y

h/d

x y

h/d

y

xO

x – 1, x < –3

f(x) =

x – 3, x = 4

–2/3 x + 2, –3 ≤ x < 3

Ex. 2: x y

h/d

x y

h/d

y

xO

Domain: _________ Range: _________ Evaluate: a) f(–1) = b) f(3) = c) f(4) =

Domain: _________ Range: _________ Evaluate: a) f(0) = b) f(1) = c) f(2) =

Piecewise-defined Functions (cont’d)

–3/2 x + 6, x > 2

f(x) =

2x – 1, –3 < x ≤ 2

Ex. 3: x y

h/d

x y

h/d

y

xO

f(x) =

Ex. 4:

Evaluate: a) f(–2) = b) f(2) = 3 c) f(4) =Domain: _(-3,oo)_ Range: _(-oo,3]_

Domain: __________

Range: ___________

Evaluate: a) f(–3) = b) f(1.5) = c) f(5) =

y

xO f(x) =

Ex. 5:

y

xO

Domain: __________

Range: ___________

Evaluate: a) f(–3) = b) f(1.5) = c) f(5) =