0
It is a continuous line whose shape depends upon what expression it is meant to represent.
The equation y = x would be a straight line passing through (0,0) and all the other points where the x and y co-ordinates were equal, including negative ones such as (-11,-11).
But if the equation has x squared in it the shape would be a parabola, while the graph of an equation with y cubed in it would have something like an S shape in it. More complex equations could produce many differently shaped lines.
What else can I help you with?
What is the term for a function whose graph has no holes jumps or asymtopes?
continuous
Is a circle graph a function?
No, a circle graph is never a function.
How can you tell if a graph is a sine function or a cosine function?
sine graph will be formed at origine of graph and cosine graph is find on y-axise
Is the first derivative of a function is a constant then its graph is?
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
How can you tell by looking at a graph its a function?
Draw a graph of a given curve in the xoy plane. Now draw a vertical line so that it cuts the graph. If the vertical line cuts the graph in more than one ordinate then given graph is not a function. If it cuts the graph at a single ordinate such a graph is a function.(is called vertical line test)
A function whose graph has no gaps or breaks?
continuous
How can you tell if a graph is a continuous function or a discrete function?
The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.
What is the term for a function whose graph has no holes jumps or asymtopes?
continuous
What are the rules of continuity of a graph?
If you are looking at a graph and you want to know if a function is continuous, ask yourself this simple question: Can I trace the graph without lifting my pencil? If the answer is yes, then the function is continuous. That is, there should be no "jumps", "holes", or "asymptotes".
How do you determine the domain of a function on a graph?
To determine the domain of a function from its graph, examine the horizontal extent of the graph. Identify all the x-values for which there are corresponding y-values. If there are any breaks, holes, or vertical asymptotes in the graph, those x-values are excluded from the domain. The domain can then be expressed in interval notation, indicating any restrictions found.
Does a bar graph have gaps?
Yes, a bar graph typically has gaps between the bars. These gaps indicate that the data represents distinct categories, emphasizing that the values are not continuous. In contrast, a histogram, which displays frequency distributions, does not have gaps because it represents continuous data.
Is a corner continuous?
Yes, a corner is continuous, as long as you don't have to lift your pencil up then it is a continuous function. Continuous functions just have no breaks, gaps, or holes.
How does a domain of a function related to the graph?
The domain of a function refers to the set of all possible input values (x-values) for which the function is defined. On a graph, the domain is represented along the x-axis, indicating the range of x-values for which the corresponding y-values (outputs) exist. Any gaps or restrictions in the domain, such as undefined points or vertical asymptotes, are visually evident in the graph, where certain x-values do not produce valid outputs. Understanding the domain helps to accurately interpret the behavior and limitations of the function represented in the graph.
What is the relationship between a logarithmic function and its corresponding graph in terms of the log n graph?
The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.
Is a circle graph a function?
No, a circle graph is never a function.
What is the zero of a function and how does it relate to the functions graph?
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
What is a graph with no breaks called?
A graph with no breaks is called a "continuous graph." In mathematical terms, this means that the graph can be drawn without lifting the pencil from the paper, indicating that the function it represents is continuous over its domain. Continuous graphs typically exhibit smooth transitions without any jumps, holes, or asymptotes.
