In-class Assignment: Section 3.4
For each function
(a) Find the domain.
(b) Locate any intercepts.
(c) Graph the function.
(d) Determine the range of the function from the graph of the function.


4x + 12 if x < −2
1. f (x) = −4
if x = −2


−3x + 1 if − 2 < x ≤ 3
(a) Find the domain. (−∞, 3]
(b) Locate any intercepts. x-intercepts: (−3, 0),
1
, 0 ; y-intercept: (0, 1)
3
(c) Graph the function.
(d) Determine the range of the function from the graph of the function. (−∞, 7)
√
 3 x if x ≤ 0
2. f (x) = 1

if x > 0
x
(a) Find the domain. (−∞, ∞)
(b) Locate any intercepts. x-intercept: (0, 0); y-intercept: (0, 0)
(c) Graph the function.
(d) Determine the range of the function from the graph of the function. (−∞, ∞)
(
x3 if − 2 ≤ x ≤ 1
3. f (x) =
|x| if x > 1
(a) Find the domain. [−2, ∞)
(b) Locate any intercepts. x-intercept: (0, 0); y-intercept: (0, 0)
(c) Graph the function.
(d) Determine the range of the function from the graph of the function. [−8, ∞)
The graph of a piecewise-defined function is given. Write a definition for the function.
4.
(
x2
if − 3 ≤ x < 0
f (x) =
2x − 1 if x ≥ 0