1. Linear Functions, Their Properties, and Linear Models
Section 4.1
Linear Functions, Their Properties, and Linear Models

2. OBJECTIVE 1

4. Graph the linear function What is the domain and the range of f?…

5. OBJECTIVE 2

9. = .03
1 -0
= .04
2 - 1
= .06
3 - 2

11. 37.5 – 40 = =
45 – =
42.5 – 45 =
40 – =

12. OBJECTIVE 3

14. Determine whether the following linear functions are increasing, decreasing, or constant.…

15. OBJECTIVE 4

17. What is the implied domain of the function found in part (a)?
Suppose that a company just purchased some new office equipment at a cost of $2500 per machine. The company chooses to depreciate each machine using the straight-line method over 5 years.
Build a linear model that expresses the value V of each machine as a function of its age, x.
What is the implied domain of the function found in part (a)?
Graph the linear function.
What is the value of each machine after 2 years?
Interpret the slope.
When will the value of each machine be $500?
(a) V(x) = -500x
(b) 0 ≤ x ≤ 5
(d) V(2) = -500(2) = 1500
(e) Rate at which machine depreciates
(f) After 4 years: V(4) = -500(4) = 500