Date: period:
piecewise functions with quadratics worksheet
carefully graph each of the following. plot each piece separately. use t-charts if needed. identify the domain and range. then, evaluate the graph at the specified domain values.
 2 x + 3 , x < − 1
1. f(x)=x5−, 1−x≤2<
 1, x ≥ 3 df =
rf
evaluate:
=
f (1) = f(6)= f(0)=
−x, − 4 ≤ x < −2

2. f (x) = x −3, −2 ≤x < 1
rf
evaluate:
3.
=
f (−4) = f (−2) = f (1)=
2, x≥5

−2x, − 2 ≤ x < 3
2
2−x, x< −2
x2−2, x≥1 df =
f (x) =
df =
rf =
evaluate: f (−2) = f(5)=

carefully graph each of the following. identify whether or not the graph is a function. then, evaluate the graph at the specified domain value. you may use your calculators to you graph, but you must sketch it carefully on the grid!
 x + 5
4. f(x)=x2 +2x+3
function? yes or no
f (3)= f (−4)= f (−2)=
x < − 2 x≥−2

x2 x ≤0 5. f (x ) = 

−x2+4 x> 0
function? yes or no
f (−4)= f (0)= f (3)=

2x+1 x≥1 6. f(x)=x2 +3 x< 1
function? yes or no

f (−2)= f (6)= f (1)=