Math

Pre-Calculus Chapter One PRACTICE

Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.

____ 1. Determine the domain of the function a. c. b. d.

Use the graph to determine the domain and range of the relation, and whether the relation is a function.y

x

____ 2. a. Domain: {x| 0, 2, 4, 6, 8, 10} 10, 8, 6, 4, 2, Range: {y| 1, 3, 4, 5, 7, 8, 10} 6, 5, 1, Yes, the relation is a function. b. Domain: {x| x 10} 10 Range: {y| y 10} 6 Yes, the relation is a function. c. Domain: {x| x 10} 10 Range: {y| y 10} 6 No, one y-value is shared by two x-values. d. Domain: {x| 0, 2, 4, 6, 8, 10} 10, 8, 6, 4, 2,

Range: {y| 1, 3, 4, 5, 7, 8, 10} 6, 5, 1, No, one y-value is shared by two x-values.

y

x

____ 3. a. Domain: {x| 8}; Range: all real numbers; No, it is not a function. 8, b. Domain: {x| x 8} ; Range: all real numbers; Yes, it is a func8 tion. c. Domain: {x| x 8} ; Range: all real numbers; No, it is not a func8 tion. d. Domain: {x| x 8} ; Range: {y| x 12} ; Yes, it is a func8 12 tion.

____ 4. Evaluate a. b.

if c. d.

____ 5. Let a. b.

Find c. d.


Graph the inequality. ____ 6. a.y

c.

y

O

x

O

x

b.

y

d.

y

O

x

O

x

____ 7. a.y

c.

y

O

x

O

x

b.

y

d.

y

O

x

O

x

____ 8. Use the domain and range of each of the following relations to determine which is a function. a. b. c. d.

____ 9. Find an equation in slope-intercept form of the line that has slope 5 and passes through point a. b. c. d.


____10. Find an equation of the line perpendicular to the graph of the point at a. b. c. d.

that passes through

____11. Given [Hint: a.8 7

and ]

Find

c.

6 7

b. 8

d. 8

____12. Graph a.

y

c.

y

O

x

O

x

b.

y

d.

y

O

x

O

x

____13. Determine the standard form of the equation of the line that passes through a. b. c. d.

and

____14. If a graphing calculator gives a Pearson product-moment correlation value (r) of 0.987 for a set of data, what does this value tell you about the relationship between the data? a. There is a moderately negative correlation. b. There is a weak negative correlation. c. There is a strong negative correlation. d. There is a strong positive correlation.

____15. If a graphing calculator gives a Pearson product-moment correlation value (r) of 0.945 for a set of data, what does this value tell you about the relationship between the data? a. There is a strong negative correlation. b. There is a strong positive correlation. c. There is a weak positive correlation. d. There is a moderately positive correlation.


____16. Graph a.

.y

c.

y

x

x

b.

y

d.

y

x

x

____17. Determine the first five iterates of a. 0.108, 0.116, 0.123, 0.129, 0.135 c. 1.108, 2.108, 3.108, 4.108, 5.108 b. 0.113, 0.118, 0.123, 0.128, 0.133 d. 0.111, 0.114, 0.117, 0.12, 0.122

____18. Find all real zeros of the function a. 1 b.1

c. 9, 9 d. 9

____19. Determine whether the graphs of coincident, or none of these. a. coincident b. perpendicular

and c. parallel d. none of these

are parallel, perpendicular,

Use a graphing calculator to determine the Pearson product-moment correlation value (r) for the data in the chart. ____20. The chart below shows the number of hours a student spent studying for a math test and the score the student earned on the test. Hours Spent Studying Test Score a. 0.48 b. 0.55 2 75 1.5 60 0.5 90 1.25 75 3.5 97 3 99 1.7 2.5 5 83 80

c. 1.00 d. 0.42

Short Answer

21. Determine the domain of the function Use the graph to determine the domain and range of the relation, and state whether the relation is a function.

Pre-Calculus Chapter One PRACTICEy

x

22. 23. Given [Hint: and ] Find

24.Write an equation for a line that is parallel to the graph of through the point at

and passes

25. Find an equation of the line perpendicular to the graph of through the point at

that passing

Graph the function.

26.

Graph the inequality.


27.

Pre-Calculus Chapter One Take Home Quiz(#1-20 only) and Review Answer Section MULTIPLE CHOICE

1. ANS: function. STA: NC 2 KEY: 2. ANS: function. STA: NC 2 KEY: 3. ANS: function. STA: NC 2 KEY:

D

OBJ:

1-1.2 Identify the domain and range of a relation or

TOP: Identify the domain and range of a relation or function. Domain | Range | Relations | Functions A OBJ: 1-1.2 Identify the domain and range of a relation or

TOP: Identify the domain and range of a relation or function. Domain | Range | Relations | Functions C OBJ: 1-1.2 Identify the domain and range of a relation or

TOP: Identify the domain and range of a relation or function. Domain | Range | Relations | Functions 1-1.3 Evaluate functions. STA: NC 2 KEY: Functions | Evaluate Functions

4. ANS: D OBJ: TOP: Evaluate functions.

5. ANS: A OBJ: 1-2.1 Perform operations with functions. STA: NC 2.04 | NC 2 TOP: Perform operations with functions. KEY: Functions | Operations with Functions 6. ANS: D OBJ: 1-8.2 Graph linear inequalities involving absolute values. TOP: Graph linear inequalities involving absolute values. KEY: Graphs | Graph Absolute Value Inequalities | Absolute Value Inequalities 7. ANS: A OBJ: 1-8.3 Graph compound linear inequalities. TOP: Graph compound linear inequalities. KEY: Graphs | Graph Compound Inequalities | Compound Inequalities 8. ANS: B OBJ: 1-1.1 Determine whether a given relation is a func-

tion. STA: NC 2 KEY:

TOP: Determine whether a given relation is a function. Relations | Functions

9. ANS: D OBJ: 1-4.1 Write linear equations using the slope and the y-intercept. TOP: Write linear equations using the slope and the y-intercept. KEY: Linear Equations | Write Equations | Slope | y-intercept 10. ANS: A OBJ: 1-5.3 Write equations of perpendicular lines. TOP: Write equations of perpendicular lines. KEY: Perpendicular Lines | Write Equations of Lines 11. ANS: C OBJ: NC 2 TOP: Find composite functions. 12. ANS: equations. KEY: A OBJ: 1-2.2 Find composite functions. KEY: STA: NC 2.04 |

Functions | Composite Functions

1-3.1 Graph linear equations.TOP: Graph linear

Linear Equations | Graphs | Graph Linear Equations

13. ANS: A OBJ: 1-4.2 Write linear equations using two points on the line. TOP: Write linear equations using two points on the line. KEY: Linear Equations | Write Equations 14. ANS: C OBJ: 1-6.3 Use a graphing calculator to compute correlation coefficients to determine goodness of fit. STA: NC 2 | NC 2.03b TOP: Use a graphing calculator to compute correlation coefficients to determine goodness of fit. KEY: Correlation Coefficients | Best-Fit Lines 15. ANS: B OBJ: 1-6.3 Use a graphing calculator to compute correlation coefficients to determine goodness of fit. STA: NC 2 | NC 2.03b TOP: Use a graphing calculator to compute correlation coefficients to determine goodness of fit.


KEY:

Correlation Coefficients | Best-Fit Lines

16. ANS: C OBJ: 1-7.2 Identify and graph greatest integer functions. STA: NC 2.01 | NC 2 TOP: Identify and graph greatest integer functions. KEY: Graphs | Graph Integer Functions | Greatest Integer Functions 17. ANS: STA: NC 2 KEY: A OBJ: 1-2.3 Iterate functions using real numbers. TOP: Iterate functions using real numbers. Functions | Iterate Functions | Real Numbers

18. ANS: A OBJ: 1-3.2 Find zeros of linear functions. TOP: Find zeros of linear functions. KEY: Linear Functions | Functions | Zeros 19. ANS: A OBJ: 1-5.1 Determine whether two lines are parallel, perpendicular, or neither. TOP: Determine whether two lines are parallel, perpendicular, or neither. KEY: Parallel Lines | Perpendicular Lines 20. ANS: A OBJ: 1-6.3 Use a graphing calculator to compute correlation coefficients to determine goodness of fit. STA: NC 2 | NC 2.03b TOP: Use a graphing calculator to compute correlation coefficients to determine goodness of fit. KEY: Correlation Coefficients | Best-Fit Lines SHORT ANSWER 21. ANS:

OBJ: 1-1.2 Identify the domain and range of a relation or function. STA: NC 2 TOP: Identify the domain and range of a relation or function. KEY: Domain | Range | Relations | Functions 22. ANS: Domain: Range: ; ;

No, it fails the vertical line test. OBJ: 1-1.2 Identify the domain and range of a relation or function. STA: NC 2 TOP: Identify the domain and range of a relation or function. KEY: Domain | Range | Relations | Functions 23. ANS:26 23

OBJ: 1-2.2 Find composite functions. STA: TOP: Find composite functions. KEY: 24. ANS:

NC 2.04 | NC 2 Functions | Composite Functions

OBJ: 1-5.2 Write equations of parallel lines. TOP: Write equations of parallel lines. KEY: Parallel Lines | Write Equations of Lines 25. ANS:

OBJ: 1-5.3 Write equations of perpendicular lines. TOP: Write equations of perpendicular lines. KEY: Perpendicular Lines | Write Equations of Lines 26. ANS:

Pre-Calculus Chapter One PRACTICEy

x

OBJ: 1-7.1 Identify and graph piecewise functions. STA: NC 2.01 | NC 2.01a | NC 2 TOP: Identify and graph piecewise functions. KEY: Graphs | Graph Piecewise Functions | Piecewise Functions 27. ANS:y

O

x

OBJ: 1-8.3 Graph compound linear inequalities. TOP: Graph compound linear inequalities. KEY: Graphs | Graph Compound Inequalities | Compound Inequalities

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