Quick Answer: Does A Straight Line On A Graph Represent A Function?

What are the components of a line graph?

The following pages describe the different parts of a line graph.The Title.

The title offers a short explanation of what is in your graph.

The Legend.

The legend tells what each line represents.

The Source.

The source explains where you found the information that is in your graph.


The Data.


Does a straight line represent a function?

A function is a relation with the property that each input is related to exactly one output. 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.

What does a straight line mean in a graph?

linearSimilar descriptions can be used for the curved graphs that show a ‘decrease of y with x’. The formal term to describe a straight line graph is linear, whether or not it goes through the origin, and the relationship between the two variables is called a linear relationship.

How can you tell if a graph is a function?

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

How do you plot a circle on a graph?

Graphing a circle anywhere on the coordinate plane is pretty easy when its equation appears in center-radius form. All you do is plot the center of the circle at (h, k), and then count out from the center r units in the four directions (up, down, left, right). Then, connect those four points with a nice, round circle.

What is the formula for a circle on a graph?

The equation of a circle appears as (x – h)2 + (y – v)2 = r2. This is called the center-radius form (or standard form) because it gives you both pieces of information at the same time. The h and v represent the coordinates of the center of the circle being at the point (h, v), and r represents the radius.

How do you know if a line on a graph is a function?

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.

Is a circle on a graph a function?

A circle is a set of points in the plane. A function is a mapping from one set to another, so they’re completely different kinds of things, and a circle cannot be a function. … The graph of a function, , is the set of pairs, for all in the domain, which can be interpreted as points in a plane.

Is a line a function?

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.

What does a vertical line mean in an equation?

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.

What is the equation of line?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

How do you determine which line is steeper?

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, . The greater the slope, the steeper the line.

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.

What is a straight line called?

A line is sometimes called a straight line or, more archaically, a right line (Casey 1893), to emphasize that it has no “wiggles” anywhere along its length. … Two lines lying in the same plane that do not intersect one another are said to be parallel lines.

What does the graph of a line represent?

A line graph (also known as a line plot or line chart) is a graph which uses lines to connect individual data points that display quantitative values over a specified time interval. … Used across many fields, this type of graph can be quite helpful in depicting the changes in values over time.

What is the horizontal line on a graph called?

The horizontal line in the given graph is called X-axis. In the Cartesian coordinate system, the horizontal reference line is called X-axis.