Calculus - Create assignment, 57950, Final 1, Dec 03 at...

Info iconThis preview shows pages 1–5. 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 DocumentRight Arrow Icon

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

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

Unformatted text preview: Create assignment, 57950, Final 1, Dec 03 at 4:29 pm 1 This print-out should have 109 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. CalC1b05 47:02, calculus3, multiple choice, > 1 min, wording-variable. 001 Sketch the graph of the function f ( x ) = m ( x- 3) + 4 for m =- 1 , , 1. 1. 4 8- 4 4 8- 4 x y cor- rect 2. 4 8- 4 4 8- 4 x y 3. 4 8- 4 4 8- 4 x y 4. 4 8- 4 4 8- 4 x y 5. 4 8- 4 4 8- 4 x y Explanation: Since each function f is linear, its graph will be a straight line. Furthermore, these lines will pass through (3,4) and have respective slope m =- 1 , , 1. Consequently, the three graphs are given by Create assignment, 57950, Final 1, Dec 03 at 4:29 pm 2 4 8- 4 4 8- 4 x y CalC1c27 47:02, calculus3, multiple choice, > 1 min, wording-variable. 002 Which one of the following is the graph of the function f ( x ) = sin | 3 x | ? 1. 1- 1 1 2 3- 1- 2- 3 correct 2. 1- 1 1 2 3- 1- 2- 3 3. 1- 1 1 2 3- 1- 2- 3 4. 1- 1 1 2 3- 1- 2- 3 5. 1- 1 1 2 3- 1- 2- 3 Explanation: Note: The first full cycle of the sin(3 x ) function occurs when 3 x = 2 ; i.e. , when x = 2 3 = 2 . 0944. Now the graph of the function f ( x ) = sin3 x, without the absolute value, is Create assignment, 57950, Final 1, Dec 03 at 4:29 pm 3 1- 1 1 2 3- 1- 2- 3 However, because |- x | = | x | , | x | = x ( x 0) , the function f ( x ) = sin | 3 x | is an even function ( f (- x ) = f ( x )), so the graph to the left of the y-axis is the mirror image of the graph of sin3 x to the right of the y-axis. Consequently, the graph of f is: 1- 1 1 2 3- 1- 2- 3 CalC1a26s 47:02, calculus3, multiple choice, > 1 min, normal. 003 Find the natural domain of the function g ( u ) = u- 7- u. 1. nat. domain = [0 , 7] correct 2. nat. domain = (0 , 7) 3. nat. domain = [0 , ) 4. nat. domain = (0 , 7] 5. nat. domain = [0 , 7) Explanation: The natural domain of g consists of all val- ues of u for which both of the functions g 1 ( u ) = u, g 2 ( u ) = 7- u are defined. But g 1 is defined for all u 0, while g 2 is defined for all u 7. Consequently, natural domain = [0 , 7] . CalC1a35a 47:02, calculus3, multiple choice, > 1 min, wording-variable. 004 Which function has 1 2 3 4 5 6 1 2 3 4 5 as its graph on [- 1 , 7]? 1. f ( x ) = 3 2 + 1 x- 2 + 1 | x- 2 | correct 2. f ( x ) = 3 2- 1 x- 2- 1 | x- 2 | 3. f ( x ) = 1 x- 2 + 1 | x- 2 |- 3 2 4. f ( x ) = 3 2 + 1 x- 2- 1 | x- 2 | Create assignment, 57950, Final 1, Dec 03 at 4:29 pm 4 5. f ( x ) = 3 2- 1 x- 2 + 1 | x- 2 | Explanation: Since | x- 2 | = x- 2 , x 2, 2- x, x < 2, we see that 1 x- 2 + 1 | x- 2 | = 2 x- 2 , x > 2, , x < 2 ....
View Full Document

Page1 / 56

Calculus - Create assignment, 57950, Final 1, Dec 03 at...

This preview shows document pages 1 - 5. Sign up to view the full document.

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