Which Of The Following Will Pass The Vertical Line Test?

What is the difference between the vertical and horizontal line test?

The vertical line test is to check if a curve is a function.

So in short, if you have a curve, the vertical line test checks if that curve is a function, and the horizontal line test checks whether the inverse of that curve is a function..

Can a circle be a function?

If you are looking at a function that describes a set of points in Cartesian space by mapping each x-coordinate to a y-coordinate, then a circle cannot be described by a function because it fails what is known in High School as the vertical line test. A function, by definition, has a unique output for every input.

Is a straight line a function?

A linear function is a function whose graph is a straight line. The line can’t be vertical, since then we wouldn’t have a function, but any other sort of straight line is fine.

What is the equation of a straight vertical line?

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept . (link) For instance in the graph below, the vertical line has the equation x = 2 As you can see in the picture below, the line goes straight up and down at x = 2.

How do you tell if a graph represents a function?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

How do you pass a vertical line test?

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

What is an example of a vertical line?

In a coordinate plane, a line parallel to the Y-axis is called Vertical Line. For example, (2,0), (3,0) (-4,0), etc. are the points of vertical lines. … Similarly, the line which goes from left to right and is parallel to the x-axis is called a horizontal line.

How do you know if a line is vertical?

A vertical line is one the goes straight up and down, parallel to the y-axis of the coordinate plane. All points on the line will have the same x-coordinate. In the figure above, drag either point and note that the line is vertical when they both have the same x-coordinate. A vertical line has no slope.

What graph does not pass the vertical line test?

If any vertical line intersects a graph more than once, the relation represented by the graph is not a function. Notice that any vertical line would pass through only one point of the two graphs shown in parts (a) and (b) of Figure 13.

What is a vertical line?

: a line perpendicular to a surface or to another line considered as a base: such as. a : a line perpendicular to the horizon. b : a line parallel to the sides of a page or sheet as distinguished from a horizontal line.

Is a vertical line a linear relationship?

Key Points A relation is a set of ordered pairs. The graph of a linear function is a straight line, but a vertical line is not the graph of a function. All linear functions are written as equations and are characterized by their slope and y -intercept.

Is vertical up and down?

Vertical describes something that rises straight up from a horizontal line or plane. … The terms vertical and horizontal often describe directions: a vertical line goes up and down, and a horizontal line goes across. You can remember which direction is vertical by the letter, “v,” which points down.

What is domain in a function?

Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

What is the vertical line test for functions?

For a relation to be a function, use the Vertical Line Test: Draw a vertical line anywhere on the graph, and if it never hits the graph more than once, it is a function. If your vertical line hits twice or more, it’s not a function.

Do functions pass the horizontal line test?

The function f is injective if and only if each horizontal line intersects the graph at most once. In this case the graph is said to pass the horizontal line test. If any horizontal line intersects the graph more than once, the function fails the horizontal line test and is not injective.

What is the vertical line symbol called?

The vertical line, also called the vertical slash or upright slash ( | ), is used in mathematical notation in place of the expression “such that” or “it is true that.” This symbol is commonly encountered in statements involving logic and sets. Also see Mathematical Symbols.

Is I horizontal or vertical?

As vertical is the opposite of horizontal, anything that makes a 90-degree angle (right angle) with the horizontal or the horizon is called vertical. So, the horizontal line is one that runs across from left to right….What is Horizontal?HorizontalVertical24 + 33 = 5724 + 33 = 57

Does a circle pass the vertical line test?

Even though a vertical line through (3,0) or (-3,0) would intersect the circle only once, the Vertical Line Test has to work for every vertical line drawn through the graph. This graph fails the Vertical Line Test, so a circle is not a function.