Question

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

Answer 1

Answer:

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)

Answer 2

Step-by-step explanation:

When the graph is called a linear graph, that means the graph has a straight line, but when it's called non-linear it means the line has a curve and that the curved line constantly changes its direction. Sorry, I might be wrong, i just briefly learned about this in school. If there's someone else that know a better way to explain please do so....