Pre-Calc Functions ~1~ NJCTL

[Pages:20]Domain and Range Class Work Find the domain and range for each of the following 1. {(1,2), (3,4), (5,6)} 2. {(4,3), (3,2), (4,2)} 3. {(5,1), (3,1), (-4,1)}

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Homework Find the domain and range for each of the following 14. {(3,1), (-2,6), (1,4)} 15. {(1,2), (2,2), (1,2)} 16. {(2,1), (5,1), (-6,7)}

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Interval and Set Notation Class Work Give the interval and set notation for each graph. 27.

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Spiral Review

Simplify each of the following

37.(4)-3 24

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2244243 3-32

Homework

Give the interval and set notation for each graph.

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49. Simplify each of the following

50.(-2 -3)4

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622 3-142

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39.

(232)3 342-43

52.

(2-10)-42-13 22



Discrete vs. Continuous Class Work Is the relation discrete or continuous? If continuous, state the interval of continuity. 53. {(1,2), (3,4), (5,6)} 54. {(4,3), (3,2), (4,2)} 55. {(5,1), (3,1), (-4,1)}

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Homework Is the relation discrete or continuous? If continuous, state the interval of continuity. 66. {(3,1), (-2,6), (1,4)} 67. {(1,2), (2,2), (1,2)} 68. {(2,1), (5,1), (-6,7)}

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Relations and Functions

Class Work

Is the relation a function?

79. {(1,2), (3,4), (5,6)}

80. {(4,3), (3,2), (4,2)}

81. {(5,1), (3,1), (-4,1)}

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Homework Is the relation a function? 92. {(3,1), (-2,6), (1,4)} 93. {(1,2), (2,2), (1,2)} 94. {(2,1), (5,1), (-6,7)}

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Evaluating Functions

Class Work

Let f(x)= 3x+4 and g(x)= |x-4|, find the following

105. f(2)

106.f(3)

107.g(6)

108. g(2)

109. 2f(6)

110. .5g(2)

111. f(4) ? g(3)

112. g(5) ? f(5)

113. f(0)2

114. g(3)3

115. g(a)

116. f(2b)

Homework

Let f(x)= (x-1)2 and g(x)= |2x-3|, find the following

117. f(2)

118. f(3)

119. g(6)

120. g(2)

121. 2f(6)

122. .5g(2)

123. f(4) ? g(3)

124. g(5) ? f(5)

125. f(0)2

126. g(3)3

127. g(a)

128. f(2b)

Spiral Review Multiply each of the following 129.(4 + 1)(2 + 6)

130. (7 - 6)(5 + 6)

131. (2 + 6 - 4)(2 - 4)

Value, Change, and Rate of Change Class Work Use the table below from Center for Disease Control (CDC) to answer questions 132-136. The Chart shows stature for age of males.

5th

10th

25th

50th

75th

90th

95th

Age (in Percentile Percentile Percentile Percentile Percentile Percentile Percentile

months) Stature (in Stature (in Stature (in Stature (in Stature (in Stature (in Stature (in

centimeters) centimeters) centimeters) centimeters) centimeters) centimeters) centimeters)

24

80.72977 81.99171 84.10289 86.4522 88.80525 90.92619 92.19688

24.5

81.08868 82.36401 84.49471 86.86161 89.22805 91.35753 92.63177

25.5

81.83445 83.11387 85.25888 87.65247 90.05675 92.22966 93.53407

26.5

82.56406 83.84716 86.00517 88.42326 90.8626 93.07608 94.40885

27.5

83.27899 84.56534 86.73507 89.17549 91.64711 93.89827 95.25754

28.5

83.98045 85.26962 87.44977 89.91041 92.41159 94.69757 96.08149

132. What is the height of a boy in the 90th percentile at age 26.5 months? 133. What is the rate of change for a boy 26.5 months to 27.5 months in 25th percentile? 134. What is the rate of change for a boy 24 months to 24.5 months in 50th percentile? 135. What is the average of change of a boy who is always in the 75th percentile from 24 to 28.5 months? 136. At what point is a boy in the 10th percentile growing the fastest?

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