{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# t102su - Create assignment 57321 Homework 50 Feb 28 at...

This preview shows pages 1–4. Sign up to view the full content.

Create assignment, 57321, Homework 50, Feb 28 at 12:43 pm 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. CalC2b04a 48:02, calculus3, multiple choice, > 1 min, normal. 001 Below is the graph of a function f . -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 2 4 6 - 2 - 4 - 6 2 4 6 8 - 2 - 4 Use the graph to determine lim x 3 f ( x ) . 1. limit does not exist correct 2. limit = 2 3. limit = 6 4. limit = 5 5. limit = 3 Explanation: From the graph it is clear the f has a left hand limit at x = 3 which is equal to 3; and a right hand limit which is equal to 1. Since the two numbers do not coincide, the limit does not exist . keywords: definition of limit, graph, domain, range, limit at jump discontinuity CalC2e21a 48:04, calculus3, multiple choice, > 1 min, normal. 002 Find all values of x at which the function f defined by f ( x ) = x - 7 x 2 + 6 is not continuous? 1. x = 7 , - 6 2. x = 7 3. no values of x correct 4. x = 6 5. x = - 6 6. x = - 6 , 6 Explanation: Because f is a rational function it will fail to be continuous only at zeros of the denomi- nator. Since there are no real solutions to x 2 = - 6 , the function is continuous everywhere; put another way, f fails to be continuous at no values of x . keywords: rational function, continuous CalC3a01e 49:01, calculus3, multiple choice, > 1 min, wording-variable. 003 If f ( x ) = - 5 x 2 + 4 x ,

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

View Full Document
Create assignment, 57321, Homework 50, Feb 28 at 12:43 pm 2 which of the following determines the deriva- tive of f ( x )? 1. lim h 0 - 5 x 2 + 4 x + h + x 2 - x h 2. - 5( x + h ) 2 + 4( x + h ) + 5 x 2 - 4 x h 3. lim x 0 - 5( x + h ) 2 + 4( x + h ) + 5 x 2 - 4 x h 4. - 5( x + h ) 2 + 4( x + h ) - 5 x 2 + 4 x h 5. lim x 0 - 5 x 2 + 4 x + hx 2 - x h 6. lim h 0 - 5( x + h ) 2 + 4( x + h ) + 5 x 2 - 4 x h correct Explanation: When f ( x ) = - 5 x 2 + 4 x then f ( x + h ) = - 5( x + h ) 2 + 4( x + h ) so the derivative of f ( x ) is given by f 0 ( x ) = lim h 0 f ( x + h ) - f ( x ) h = lim h 0 - 5( x + h ) 2 + 4( x + h ) + 5 x 2 - 4 x h . keywords: limit, derivative CalC3b06a 49:01, calculus3, multiple choice, > 1 min, normal. 004 If f is a function on ( - 8 , 8) having -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 3 6 - 3 - 6 3 6 - 3 - 6 as its graph, which of the following is the graph of the derivative of f ? 1. 3 6 - 3 - 6 3 6 - 3 - 6 2. 3 6 - 3 - 6 3 6 - 3 - 6
Create assignment, 57321, Homework 50, Feb 28 at 12:43 pm 3 3.

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

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

{[ snackBarMessage ]}

### Page1 / 8

t102su - Create assignment 57321 Homework 50 Feb 28 at...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online