CHAPTER 3 / REVIEW EXERCISES SECTION 3.1 Plot the given points on the same coordinate system. (See Objective 1.) 1. (-6, 3), (4, 0), (-2, -5) 2. (-6, 10), (12, -4), (0, 8) Identify the quadrant where each point is located. (See Objective 1.) 3. a-2, - 5 2 b 4 (-3.5, 1.5) Determine if the ordered pair is a solution of the equation. (See Objective 2.) 5. y 5 3x 2 x2 1 4; (-2, -6) 6. y = -2|3 - x| + 11; (-3, -1) Graph each equation. (See Objective 3.) 7. y = (x + 2)2 - 3 8. y = -|x - 2| + 1 Find the midpoint of the line segment formed by the ordered pairs. (See Objective 5.) 9. (4.6, 2.1) and (-8.2, 11.3) 10. (-12.5, 7.2) and (-0.9, -4.9) Solve each problem. (See Objective 6.) 11. The table shows the number of lightning deaths per state for the top ten states between 1959 and 2010. (Source: http://www.lightningsafety.noaa.gov/stats/ 59-10_fatalities_rates.pdf) State Rank Number of Deaths Florida 1 461 Texas 2 212 North Carolina 3 192 Ohio 4 144 Colorado 5 140 Tennessee 6 140 Louisiana 7 138 New York 8 138 Pennsylvania 9 129 Maryland 10 126 a. Plot each pair of points, where x is the rank and y is the number of lightning deaths. b. Interpret the meaning of the first and last ordered pairs in the table. 6. The graph of an equation is a(n) of all the of the equation. 7. If a point lies on the graph of an equation, it is a(n) of the equation. 8. If a point does not lie on the graph of an equation, it is of the equation. 9. When we plot data points, a(n) is formed. 10. The of a line segment is the point that lies exactly in the middle of the endpoints of the line segment. It is found by the x-values and the y-values. SECTION 3.2 Relations 11. A(n) is a set of ordered pairs. 12. The of a relation is the set of all x-values, the set of all input values, the set of all first coordinates, or the set of all starting values. 13. The of a relation is the set of all y-values, the set of all output values, the set of all second coordinates, or the set of all ending values. 14. To find the domain of a relation from a graph, we read it from to to find the starting and ending x-values. 15. To find the range of a relation from a graph, we read it from to to find the starting and ending y-values. 16. To determine output values for a given input value, find the for the relation with the given value as its x-value. The corresponding is the output value. SECTION 3.3 Functions 17. A function is a relation in which each member of the domain corresponds to member of the range. 18. To determine if a graph represents a function, we can use the test. If each line intersects the graph in at most one point, then the graph . If at least one line intersects the graph in more than one point, then the graph . 19. Function notation is denoted by and is read . The input of the function is . The output of the function is . The name of the function is . 20. If f (5) = -7, then the input value is and the output value is . The point lies on the graph of the function. SECTION 3.4 The Domain and Range of Functions 21. The domain of the function is the set of . 22. The range of the function is the set of . 23. To find the domain of a function from a graph, read it from to . 24. To find the range of a function from a graph, read it from to . 25. To determine the domain of an algebraic function, we must determine the values of x for which the function is . 26. If the function involves a fraction with a variable in the denominator, we must exclude from the domain values that make the zero since division by zero is . 27. If the function involves the square root of an algebraic expression, we must find the values that make the expression inside the square root or zero to find its domain. 202 Chapter 3 Graphs, Relations, and Functions
hendricks_intermediate_algebra_1e_ch1_3
To see the actual publication please follow the link above