College Algebra, 2013a

1.6 Graphs of Functions 107
1.6.2 Exercises
In Exercises 1 - 12, sketch the graph of the given function.
identify any intercepts and test for symmetry.
1. f(x) =2− x 2. f(x) = x − 2
3
State the domain of the function,
3. f(x) =x 2 +1
4. f(x) =4− x 2 5. f(x) =2 6. f(x) =x 3
7. f(x) =x(x − 1)(x +2) 8. f(x) = √ x − 2 9. f(x) = √ 5 − x
10. f(x) =3− 2 √ x + 2 11. f(x) = 3√ x 12. f(x) = 1
x 2 +1
In Exercises 13 - 20, sketch the graph of the given piecewise-defined function.
{
{
4 − x if x ≤ 3
x
13. f(x) =
14. f(x) =
2 if x ≤ 0
2 if x>3
2x if x>0
⎧
⎪⎨ −3 if x3
{
17. f(x) =
−2x − 4 if x