Question

Explain how the vertical line test works.

Answer 1

When you draw a vertical line, and it touches the curve twice, this indicates that one of the independent variables is indeed being mapped to TWO values. That is why the vertical line test works in determining what is not a function.

Answer 2

right @jiteshmeghwal9

Answer 3

yaa !

Answer 4

The vertical line test is used to determine whether a graph is the graph of a function. Essentially, the test amounts to answering this question: is it possible to draw a vertical line that intersects the graph in two or more places? If so, then the graph is not the graph of a function. If it is not possible, then the graph is the graph of a function. Why does this test work? A graph would fail to be a function if for any input x, there existed more than one y-value corresponding to it. Take, for example, the equation x2+y2=13. Note that the points (2, 3) and (2, -3) both satisfy the equation. So we have a situation in which one x-value (namely, when x = 2) corresponds to two different y-values (namely, 3 and -3). The point (2, -3) is directly below (2, 3) on the coordinate plane; in other words, the points (2, -3) and (2, 3) lie on the same vertical line with equation x = 2. So if a vertical line hits a graph in more than one place, it is the same as having the same x-value paired up with two different y-values, and the graph is not that of a function.

(Note that under this criterion, a circle is not the graph of a function)

Answer 5

what about "Explain why horizontal lines have a slope of 0."

Answer 6

slope means elevation. if the elevation is 0 (a flat/horizontal line), then the slope is 0.

another explaination, horizontal line is y=y, which didn't change the value of X at all

formula for finding slope: rise (difference between y)/run (difference between x)

Answer 7

ok @coolaidd

Answer 8

@ajprincess

Answer 9

u r always right @mayankdevnani

le medal le :D

Answer 10

lol