Hey everyone I was wondering if someone can explain to me what a linear function is on a graph, does it always have to be a straight line or can it be zigzag or squiggly also why does the vertical line test matter? I always get confused, THANKS

Step-by-step explanation:

a linear function is f(x)=ax+b with a, b real  numbers

the graph will be  a line because

I. the graph of f(x) intersects Ox where  f(x)=o,

so  ax+b=0, ax=-b, x= -b/a

so a point on graph is A (-b/a, 0)

II. the graph of f(x) intersects Oy where x=0, so f(0)=a*0+b=b

so the other point of the graph is B(0,b)

if i draw a  line with  these  2 points ,this will be the graph of f(x)

p

step-by-step explanation:

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.