Ineed . its very emergency

the group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. what do you notice about the two groups of points? what do you think it means to be a function?

ps and again i really need the answers.

Here it is:

The first set has (0,1) and (0,5), which assigns to the *same* x, more than one value of *y*. That's not a function. It's a curve. Think about a circle, or instance. It's NOT a function, but it's a curve.

The second one has for each *x* a single *y*

BTW, there's no problem if for *different* x there is the same *y*:

y = 5,

all x, have the same y, equal to 5. That's a function, or y = x^2, etc

The definition of a function is that for every unique input, independent variable, there is only one unique output, dependent variable.  Otherwise is fails what is called the "vertical line test" which just means that there can only be one specific output value for any one specific input value.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote