```Question 193571
The  most  straightforward  way  to  graph  any  function  is  to  make  a  T box  and  plot  the  points.
After  much  practice  ,,,,you  can  recoqnize  patterns,,,but  this  does  work

1)  y=5x

X,,,,,,Y
______
0,,,,,0
1,,,,,5, ,,,,,,5*1=5
5,,,,25,,,,,,5*5=25

it  is  linear,,,(no  powers  over  x^1),,,,  the  y  intercept  is  (0),,,,  and  the  slope  is  (+5)
remember,,,,y=mx+b,,,,with  m=slope,,,,b=y  intercept

2)  y=4x+2
X,,,,,,,,,Y
0,,,,,,,,2
1,,,,,,,,6,,,,4(1)+2
-1/2,,,,0

it  is  linear,,,,y intercept  is  (+2),,,,,and  the  slope  is  (+4)

2)y=(1/3)x
X,,,,,Y
0,,,,0
3,,,,,1,,,,,,1/3  of  3
6,,,,,2,,,,,,1/3  of  6

it  is  linear,,,,y  intercept  is  0,,,,,slope  is  +1/3

4)  y=log(5x)
X,,,,,,,Y
0,,,,,,  (- infinity),,,,just  use  calc (5*0) log
1/5,,,0,,,,calculator  (1/5*5=1)log
50,,,,2.4,,,calculator  (5*50=250)log
log  functions  all start  at  minus  infinity  at  x=0,  rise  to  y=0  at log (1),  and  then  rise  slowly,in  our  case  to  y=2.4 at  x=(50) ```