1. Section 3.2 – Domain & Range

2. Find Domain of Formula ***For our purposes…..
The domain of a function is the set of all real numbers that do NOT give a zero in the denominator or a negative under an even root.
Dom:
Dom:

3. Find Domain of Formula
Find the domain of the function.
Dom:
Dom:

4. Find Domain of Formula
Find the domain of the function.
Dom:
Dom:

5. Domain & Range from Graph
**Domain: input values - Left to Right
**Range: output values - Lowest to Highest
Determine the domain and range of the function.
Ex 11: Dom:
Rng:
−2<𝑥<1
<𝑥<
−2≤𝑥≤1
Ex 10: Dom:
Rng:
−3<𝑥<5
<𝑥<
−3≤𝑥<5
[−2, 1]
[−1, 4]
−3, 5
[−4, 1)
<𝑦<
<𝑦<
−4≤𝑦<1
−1<𝑦<4
−1≤𝑦≤4
−4<𝑦<1

6. Domain & Range from Graph
Determine the domain and range of the function.
Ex 12: Dom:
Rng:
Ex 13: Dom:
Rng:
−2<𝑥<4
<𝑥<
−∞<𝑥<∞
<𝑥<
(−∞, ∞)
[−3, ∞)
−2≤𝑥≤4
[−2, 4]
{4}
−3<𝑦<∞
<𝑦<
−3≤𝑦<∞
<𝑦<
4<𝑦<4
4≤𝑦≤4

7. Domain & Range of Basic Functions
Range: {c}

8. Domain & Range of Basic Functions

9. Domain & Range of Basic Functions

10. Domain & Range of Basic Functions

11. Domain & Range of Basic Functions

12. Domain & Range of Basic Functions

13. Domain & Range of Basic Functions
(−∞, 0)∪(0,∞)
Range: 𝑦≠0

14. Domain & Range of Basic Functions
(−∞, 0)∪(0,∞)
Range: (0,∞)

15. Domain & Range of Basic Functions

16. Evaluate Piecewise Functions
For each piecewise function, find the specified function values.

17. Evaluate Piecewise Functions
Ex 15: Find the indicated value of the piecewise function pictured to the right. Identify the domain and range.
Domain: (−∞, ∞)
Range: (2, ∞)

18. Graph Piecewise Functions
Domain: [−2, ∞)
Range: [0, ∞)

19. Graph Piecewise Functions
Domain: (−∞, ∞)
Range: (−∞, 10)