piecewise-defined functions
DESCRIPTION
y. y. x y h/d. x y h/d. x y h/d. x. x. O. O. Piecewise-defined Functions. Ex. 1:. ½ x – 2, x > 2. f ( x ) =. 3, x = 1. x y h/d. –2 x + 3, –2 ≤ x < 1. Domain: _________. Range: _________. - PowerPoint PPT PresentationTRANSCRIPT
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) =