Question

al Complete the table of values for y places Inity +11 . giving your answers to 2 decimal 1 2 3 4 5 3.95 4.30 (bi On the grid opposite, draw the graph of y-in3x + 1) + 2 for OSX 56 (c) Use your graph to obtain an estimate, to I decimal place for the value of In 10.6 You must show clearly how you have used your graph (d) By drawing a straight line on the grid, obtain estimates, to 1 decimal place for the roots of the equation (Jr + 1)! in the interval 0 6

Answer 1

Complete the table of values for y- en (3x+1+2. decimal places your Giving answers to 2 801- cibout x=0 Y ln (3x+1)+2 Gubtitue value of x20 y = ln (360)+1) +2. y = ln (1)+2 I enci)=o] Y=2 (1) for x=1 Ya en (3x+1)+2 substitute value of x=1 Y en (341) + 1) +2. Ya en (4+2 y = 1.386 +2 Y = 3.386 - 3.39 (2 decimal values) (ii) for x=2 Yen (3 (2) + 1) +2 11 7+2 | |- |- 1454 2- Y 3.95.

iv) tor = 3 y en (3x+1)+2 Ya en (3 (3)+1)+2 Y en (10)+2 4 - 4.30 for x=4. ~) y en (3x+1)+2 Substitue x= 4 Y = ln (3 (4+1)+2 Y= ln ( 12+12+2 Y= ln (13)+2 Ya 2.564+2 Y- 4.56. for x=5 y = ln (3x+1)+2 Y- en (3 (5)+12+2 y en (16) +2 Ya 2.75 +2 - 4.77 vil for 126 Y = ln (3x+1)+2 on Y = ln (316) +18+2 . Y- en (19)+2 song Y= 2.94+2 Y= 4.94.

3139| 3.95 4.30 | 4156 | 447 14.94

tanis ស°៤ on x-aris ony-asis writ lum lunit - 1cm. Equation Y = ln 13x +ita 1.44 0.3 175 4.56 9:36 134 111 1+ 0-351 05 + 025 + w aris

tanis Unila on X-cris ony-anis unit 1 cm lunit = 1cm Equation y en 13r +1+2 4.94. 4.37 4.54 4.75 + 45 7(0) 4.254 3.95 4 = 1 3,5 t BR w = dn (3x+1)+2 y-2= ln 134+1) for the value of en £10.6) need to substitue 2=3 to get the neaust value. y-2 - en (3 (3)+1) for 223, y = 4.30. 4.3-2 = ln (10) en(1016) 2175- 4.3 fory 2+ 1 en (10)=213 In (10.6 ~ 213 (decimal 0.351 5 place) 0-25 ta w aris

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