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Lesson 1.2 Extra Practice STUDENT BOOK PAGES 14–24 1. Evaluate f (⫺3 ) , f (2) , and f ( 2.5 ) for a) f (x) ⫽ x 2 ⫹ 2x ⫹ 1 b) f (x) ⫽ 2x 2 ⫺ 5x ⫺ 3 c) f (x ) ⫽ (x ⫹ 1 ) 2 ⫺ 5 d) f (x) ⫽ ⫺2 (x ⫺ 3 ) 2 ⫹ 4 2. For f (x) ⫽ 3x ⫺ 2, determine a) f (⫺2 ) b) f (0) c) f (⫺4 ) ⫹ f (⫺5 ) 5 2 d) f a b ⫺ f a b 3 3 3. The graph of y ⫽ f (x) is shown below. y 4 3 2 1 Copyright © 2008 by Thomson Nelson –4 –3 –2 –1 0 –1 –2 –3 –4 x 1 2 3 4 5 a) State the domain and range of f. b) Evaluate. i) f (⫺2 ) ii) f (5) iii) f (5 ⫺ 2 ) iv) f (5) ⫺ f ( 2 ) 4. For g(x) ⫽ ⫺3x ⫹ 5, determine a) g(a) b) g(⫺b ⫹ 2 ) c) g(4c ⫺ 3 ) d) g(6 ⫺ 4d) 5. Consider the function f (s) ⫽ 4s ⫺ 3. a) Create a table of values and graph the function. b) Determine each value. i) f (⫺2 ) ii) f (5) iii) f (3) ⫺ f (⫺4 ) iv) f (v) ⫹ f (6 ⫺ v) 1 6. The graph below shows f (x) ⫽ ⫺ (x ⫺ 1)2 ⫹ 4. 2 y 8 6 (1, 4) 4 2 –4 –3 –2 –1 0 –2 –4 –6 –8 1 x 2 3 4 5 6 a) Evaluate f (⫺3) . b) What does f (⫺3) represent on the graph of f ? c) State the domain and range of the relation. d) How do you know that f is a function from its graph? 7. For f (x) ⫽ 3x ⫺ 4, determine the input x when the output of f (x) is a) 2 b) 11 c) ⫺10 5 d) ⫺ 2 8. a) Graph the function f (x) ⫽ 2(x ⫹ 1 )2 ⫺ 5. b) What does f (2) represent on the graph? Indicate on the graph how you would find f (2) . c) Use the function to determine i) f (3) ⫺ f (0) ii) f (1) ⫹ f (4) iii) 2f (5) ⫺ 2 iv) f (x ⫺ 2) 9. Let f (x) ⫽ x 2 ⫺ 3x ⫺ 10. Determine the values of x for which a) f (x) ⫽ 0 b) f (x) ⫽ ⫺10 c) f (x) ⫽ ⫺12 d) f (x) ⫽ 18 Lesson 1.2 Extra Practice 371