Chapter 1 Assignments Answer Section
1.1
A Picture Is Worth a Thousand Words: Understanding Quantities and Their Relationships
1. The quantity that the dependent quantity depends on is the independent quantity.
2. When one quantity depends on another in a problem situation, it is said to be the dependent quantity.
3. Independent quantity: time (hours), Dependent quantity: distance in miles
4. Independent quantity: time (minutes), Dependent quantity: Number of T-shirts
5.
Independent quantity: number of cups, Dependent quantity: Number of cups of hot chocolate
6. Graph A
9.
7. Graph C
8. Graph B
10
1.2
A Sort of Sorts: Analyzing and Sorting Graphs
1. B
2. C
3. E
5. A
6. G
7. D
4. F
8. Both graphs are always decreasing from left to right. Both graphs are functions. Both graphs are
made up of straight lines.
9. Both graphs are smooth curves. Both graphs are functions. Both graphs have an increasing and a
decreasing interval. Both graphs are U-shaped.
10. Both graphs have discrete data values. Both graphs are decreasing from left to right. Both graphs are
functions.
11. The graph is discrete.
12. The graph is continuous.
14. The graph is continuous.
15. The graph is discrete.
13. The graph is continuous.
16. Yes, the graph is a function
17. No, the graph is not a function.
18. No, the graph is not a function
19. Yes, the graph is a function.
1.3
There Are Many Ways to Represent Functions
Recognizing Algebraic and Graphical Representations of Functions
1. Function Notation
2.
exponential functions
3. linear piecewise functions
4.
increasing function
5. absolute maximum
6.
function family
7. linear absolute value functions
8.
decreasing function
9. quadratic functions
10.
linear functions
11. constant function
12.
absolute minimum
13.
14.
15.
17. Graph A
18. Graph B
19. Graph C
20. Graph A
21. Graph B
16.
22.
The graph represents an increasing function.
23.
The graph represents a function with a combination of an increasing interval and a decreasing
interval.
24.
The graph represents a decreasing function.
25.
The graph represents a constant function.
26.
The graph represents a function with an absolute minimum.
27.
The graph represents a function with neither an absolute minimum nor an absolute maximum.
28.
The graph represents a function with an absolute maximum.
29.
The graph represents an exponential function.
30.
The graph represents a linear function.
31.
The graph represents a quadratic function.
32.
The graph represents a linear absolute value function.
1.4 Function Families for 200, Alex… Recognizing Functions by Characteristics
1. linear functions
2. linear absolute value functions
3. quadratic functions
4. exponential functions
5. linear absolute value functions
6. linear functions
7. exponential functions
8. The graph represents a quadratic function.
9. The graph represents a linear function.
10. The graph represents a linear absolute value function.
11.
The graph represents an exponential function.
12.
The graph represents a linear piecewise function.
13.
The graph represents a linear function.