Pre-Calc Homework Solutions 24

Pre-Calc Homework Solutions 24 - (1.58 3(b No points of...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
3. continued (c) g + f : [ 2 4.7, 4.7] by [ 2 3.1, 3.1] 4. It appears that ( f + g )( x ) 5 ( g + f )( x ) 5 x , suggesting that f and g may be inverse of each other. (Notice that the domain of f + g is (0, ) and the domain of g + f is ( 2‘ , ).) (a) f and g : [ 2 4.7, 4.7] by [ 2 3.1, 3.1] (b) f + g : [ 2 4.7, 4.7] by [ 2 3.1, 3.1] (c) g + f : [ 2 4.7, 4.7] by [ 2 3.1, 3.1] Exploration 2 Supporting the Product Rule 1. They appear to be vertical translations of each other. [ 2 1, 8] by [ 2 2, 4] 2. This graph suggests that each difference ( y 3 5 y 1 2 y 2 ) is a constant. [ 2 1, 8] by [ 2 2, 4] 3. y 3 5 y 1 2 y 2 5 ln ( ax ) 2 ln x 5 ln a 1 ln x 2 ln x 5 ln a Thus, the difference y 3 5 y 1 2 y 2 is the constant ln a . Quick Review 1.5 1. ( f + g )(1) 5 f ( g (1)) 5 f (2) 5 1 2. ( g + f )( 2 7) 5 g ( f ( 2 7)) 5 g ( 2 2) 5 5 3. ( f + g )( x ) 5 f ( g ( x )) 5 f ( x 2 1 1) 5 ˇ 3 ( x w 2 w 1 w 1 w ) w 2 w 1 w 5 ˇ 3 x 2 w 5 x 2/3 4. ( g + f )( x ) 5 g ( f ( x )) 5 g ( ˇ 3 x w 2 w 1 w ) 5 ( ˇ 3 x w 2 w 1 w ) 2 1 1 5 ( x 2 1) 2/3 1 1 5. Substituting t for x , one possible answer is: x 5 t , y 5 } t 2 1 1 } , t $ 2. 6. Substituting t for x , one possible answer is: x 5 t , y 5 t , t ,2 3. 7. [ 2 10, 10] by [ 2 10, 10] (4, 5) 8. [ 2 10, 10] by [ 2 10, 10] 1 } 8 3 } , 2 3 2 < (2.67, 2 3) 9. (a) [ 2 10, 10] by [ 2 10, 10]
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (1.58, 3) (b) No points of intersection, since 2 x . 0 for all values of x . 10. (a) [ 2 10, 10] by [ 2 10, 10] ( 2 1.39, 4) (b) No points of intersection, since e 2 x . 0 for all values of x . Section 1.5 Exercises 1. No, since (for example) the horizontal line y 5 2 intersects the graph twice. 2. Yes, since each horizontal line intersects the graph only once. 3. Yes, since each horizontal line intersects the graph at most once. 4. No, since (for example) the horizontal line y 5 0.5 intersects the graph twice. 5. Yes, since each horizontal line intersects the graph only once. 6. No, since (for example) the horizontal line y 5 2 intersects the graph at more than one point. 24 Section 1.5...
View Full Document

This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online