Math141HW1B

Math141HW1B - (Exercises for Chapter 1 Functions E.1.1...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (Exercises for Chapter 1: Functions) E.1.1 CHAPTER 1: Functions (A) means “refer to Part A,” (B) means “refer to Part B,” etc. (Calculator) means “use a calculator.” Otherwise, do not use a calculator. SECTION 1.1: FUNCTIONS #1-2. Finding function rules. Find a function rule of the form f x ( ) = (expression in x ) that is consistent with the input-output machines. (D) 1) 5 ¡ f ¡ ¢ 5 ¡ ¢ £ f £ ¢ ¡ 14.7 ¢ f ¢ 14.7 2) 6 ¡ f ¡ 6 ¡ 3 ¢ f ¢ 3 ¡ 2 3 ¢ f ¢ 2 3 #3-8. Evaluating functions using tables. Fill out the tables. Give exact values unless otherwise specified. (D, F) 3) Let f x ( ) = x + 4 . ( h is a constant or a variable, not a function) Input x Output f x ( ) ¡ 1 0 1 2 5 ¡ 10/3 4.7 c a + h 4) Let f x ( ) = 2 x . ( h is a constant or a variable, not a function) Input x Output f x ( ) ¡ 1 0 1 2 5 ¡ 10/3 4.7 c a + h (Exercises for Chapter 1: Functions) E.1.2 5) Let g t ( ) = t 2 ¡ 9 t + 5 . Input t Output g t ( ) ¡ 2 ¡ 1 0 1 2 c 6) Let h r ( ) = 9 ¡ r 4 . Input r Output h r ( ) ¡ 2 ¡ 1 0 1 2 c 7) Let V r ( ) = 4 3 ¡ r 3 . Input r Output V r ( ) 1 2 5/2 c (If r > , how can V r ( ) be interpreted geometrically?) 8) Let f x ( ) = 7 . Input x Output f x ( ) 1 2 5/2 c (Exercises for Chapter 1: Functions) E.1.3 #9-17. Finding domains. Write the indicated domain in … (G, H) • Task a): … set-builder form (write ¡ when appropriate) • Task b): … graphical form • Task c): … interval form 9) Dom f ( ) , where f x ( ) = 8 x 6 ¡ 3 x 2 + 2 10) Dom f ( ) , where f x ( ) = 1 x ¡ 4 11) Dom g ( ) , where g t ( ) = t 2 + t t + 3 12) Dom g ( ) , where g t ( ) = 7 t 2 t ¡ 1 13) Dom h ( ) , where h r ( ) = r + 2 14) Dom h ( ) , where h r ( ) = r + 2 3 15) Dom h ( ) , where h r ( ) = r + 2 ( ) ¡ 1/2 16) Dom f ( ) , where f x ( ) = 2 ¡ 5 x 4 x + 1 3 17) Dom g ( ) , where g t ( ) = t 4 ¡ 5 3 t 2 ¡ 5 t ¡ 2 (Exercises for Chapter 1: Functions) E.1.4 #18-20. Evaluating functions. (I) 18) Let f x ( ) = x . a) Evaluate f 4 ( ) . b) Evaluate f 11 ( ) . c) Evaluate f a ( ) . d) Evaluate f x + h ( ) . e) Evaluate f x 2 + 2 x + 1 ( ) . 19) Let g t ( ) = 2 t 2 ¡ 3 t ¡ 7 a) Evaluate g 3 ( ) . b) Evaluate g x ( ) . c) Evaluate g t 2 ( ) . d) Evaluate g t + h ( ) . 20) Let h x ( ) = 3 2 x + 1 . a) Evaluate h 5 ( ) . b) Evaluate h ¡ ( ) . c) Evaluate h x + h ( ) . 21) For a function f and some real value a , f a ( ) = a 2 and f a ( ) = 6 a ¡ 9 . Find a . (C, D) (Exercises for Chapter 1: Functions) E.1.5 SECTION 1.2: GRAPHS OF FUNCTIONS 1) Let h r ( ) = 9 ¡ r 4 . Graph p = h r ( ) in the rp-plane by using Point-Plotting and your...
View Full Document

{[ snackBarMessage ]}

Page1 / 14

Math141HW1B - (Exercises for Chapter 1 Functions E.1.1...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online