Question

This equation is that of a function: y = 2x+3

Answer 1

so what about it?

Answer 2

is this true or false?

Answer 3

well if you rewrite it as
\[f(x)=2x+3\]
consider the graph of this equation, we know that it is a line with a slope of 2/1. so if you graph it and perform the vertical line. how many points of intersection will you have between the vertical line and the graphed line

Answer 4

3..so this would be true?

Answer 5

3??? you got points 3 of intersection? do you know how to graph this line? because you should only have 1 point of intersection using the vertical line test.

Answer 6

oops yes 1. So either way if you have one this makes it true?

Answer 7

if there were more than one point of intersection on ANY part of the graph it is not a function. but since we have the equation of a line with a given slope we know that it is a function because it only has 1 point of intersection through a vertical line. so yes a linear function is a function. any time they ask you if something is a function just graph it and check. you have a y intercept of 3 and a slope of 2/1 you don't even need a t table here to graph it.