Question 962526
1. 

{{{f(x)=(x^2+9)/(x+3)}}}

to find the coordinates of at least {{{5}}} points  choose {{{5}}}values for {{{x}}} and calculate {{{f(x)}}}

{{{x}}}|{{{f(x)}}}


{{{-12}}}|{{{-17}}}=>{{{f(-12)=((-12)^2+9)/(-12+3)}}}=>{{{f(-12)=153/-9=-17}}}

{{{-6}}}|{{{-15}}}=>{{{f(-6)=((-6)^2+9)/(-6+3)}}}=>{{{f(-6)=45/-3=-15}}}

{{{-2}}}|{{{13}}}=>{{{f(-2)=((-2)^2+9)/(-2+3)}}}=>{{{f(-2)=13/1=13}}}

{{{-1}}}|{{{5}}}=>{{{f(-1)=((-1)^2+9)/(-1+3)}}}=>{{{f(-1)=10/2=5}}}

{{{0}}}|{{{3}}}=>{{{f(0)=((0)^2+9)/(0+3)}}}=>{{{f(0)=9/3=3}}}

{{{1}}}|{{{5/2}}}=>{{{f(1)=((1)^2+9)/(1+3)}}}=>{{{f(1)=10/4=5/5}}}

{{{2}}}|{{{13/5}}}=>{{{f(2)=((2)^2+9)/(2+3)}}}=>{{{f(2)=13/5}}}

now, plot these points and draw a line through:


{{{drawing( 600, 600, -20, 20, -20, 20,
circle(-2,13,.17),circle(-1,5,.17),circle(0,3,.17),circle(1,5/2,.17),circle(2,13/5,.17),circle(-12,-17,.17),circle(-6,-15,.17),
locate(-2,13,p(-2,13)),locate(-1,5,p(-1,5)),locate(0,3,p(0,3)),
locate(1,5/2,p(1,5/2)),locate(2,13/5,p(2,13/5)),
locate(-12,-17,p(-12,-17)),locate(-6,-15,p(-6,-15)),

 graph( 600, 600, -20, 20, -20, 20, (x^2+9)/(x+3))) }}}


 



2.

 {{{f(x)=((x-3)(x+5))/(x+3) }}}

{{{x}}}|{{{f(x)}}}

{{{-10}}}|{{{-9.28}}}=>{{{f(-10)=((-10-3)(-10+5))/(-10+3)}}}=>{{{f(-10)=((-13)(-5))/(-7)=-9.28}}}

{{{-6}}}|{{{-3}}}=>{{{f(-6)=((-6-3)(-6+5))/(-6+3)}}}=>{{{f(-6)=((-9)(-1))/(-3)=-3}}}

{{{-2}}}|{{{-15}}}=>{{{f(-2)=((-2-3)(-2+5))/(-2+3)}}}=>{{{f(-2)=((-5)(3))/(1)=-15}}}

{{{-1}}}|{{{-8}}}=>{{{f(-1)=((-1-3)(-1+5))/(-1+3)}}}=>{{{f(-1)=((-4)(4))/(2)=-16/2=-8}}}

{{{0}}}|{{{-5}}}=>{{{f(0)=((0-3)(0+5))/(0+3)}}}=>{{{f(0)=((-3)(5))/(3)=-15/3=-5}}}

{{{1}}}|{{{-3}}}=>{{{f(1)=((1-3)(1+5))/(1+3)}}}=>{{{f(1)=((-2)(6))/(4)=-12/4=-3}}}

{{{2}}}|{{{-7/5}}}=>{{{f(2)=((2-3)(2+5))/(2+3)}}}=>{{{f(2)=((-1)(7))/(5)=-7/5}}}



{{{drawing( 600, 600, -20, 20, -20, 20,
circle(-2,-15,.17),circle(-1,-8,.17),circle(0,-5,.17),circle(-6,-3,.17),
circle(1,-3,.17),circle(2,-7/5,.17),circle(-10,-9.28,.17),
locate(-2,-15,p(-2,-15)),locate(-1,-8,p(-1,-8)),locate(0,-5,p(0,-5)),
locate(1,-3,p(1,-3)),locate(2,-7/5,p(2,-7/5)),locate(-6,-3,p(-6,-3)),
locate(-10,-9.28,p(-10,-9.28)),

 graph( 600, 600, -20, 20, -20, 20, ((x-3)(x+5))/(x+3))) }}}