Download Sketching a Piecewise Graph

Suggested Practice Problems
Math 229, Calculus I
Graph the following piecewise functions


1 + x, x < −2


2
−2 ≤ x < 1
1. Graph f (x) = x ,

1

 ,
x≥1
x
(a) Make sure you can sketch each graph separately. You should then sketch each
graph on the given restricted domain.
y =1+x
y = x2
y=
y = 1 + x, x < −2
y = x2 , −2 ≤ x < 1
1
x
y=
1
,x≥1
x
2. The piecewise function f (x) is made by sketching the three functions on their restricted domain on the same graph.
(
sin(x), x ≤ 0
3. Graph f (x) =
cos(x), x > 0
(a) Make sure you can sketch each graph separately. You should then sketch each
graph on the given restricted domain.
y = sin(x)
y = sin(x), x ≤ 0
y = cos(x)
y = cos(x), x > 0
4. The piecewise function f (x) is made by sketching the three functions on their restricted domain on the same graph.