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You can't have a point for every value on a drawn graph because graphs often represent continuous data, which can take on an infinite number of values within a range. Including a point for every possible value would clutter the graph and make it unreadable. Instead, graphs typically use lines or curves to represent trends and relationships between variables, allowing for a clear visual representation of the data.
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What is the graph of sine function is periodic at?
The graph of the sine function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.
What do you use to determine whether a graph shows a function?
To determine whether a graph represents a function, you can use the vertical line test. If any vertical line drawn on the graph intersects the curve at more than one point, the graph does not represent a function. This is because a function must assign exactly one output value for each input value. If every vertical line intersects the graph at most once, then it is a function.
The graph of a function must pass the line test?
The line test, often referred to as the vertical line test, states that for a graph to represent a function, any vertical line drawn on the graph must intersect it at most once. This ensures that for every input (x-value), there is exactly one output (y-value). If a vertical line intersects the graph at more than one point, the relation is not a function. Therefore, passing the line test is a fundamental characteristic of a function's graph.
What is a way to see if a line on a graph is a function?
To determine if a line on a graph represents a function, you can use the vertical line test. If any vertical line drawn through the graph intersects the line at more than one point, then it is not a function. Conversely, if every vertical line intersects the graph at most once, it confirms that the line is indeed a function. This test helps ensure that each input (x-value) corresponds to exactly one output (y-value).
What is a point on the graph called if all nearby points have a smaller value?
A point on a graph, when all nearby points have a smaller value, is called a maximum.
What is the graph of sine function is periodic at?
The graph of the sine function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.
What is the graph of tangent functio is periodic at?
The graph of the tangent function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.
How can one determine the initial value on a graph?
To determine the initial value on a graph, look for the point where the graph intersects the y-axis. This point represents the initial value or starting point of the graph.
What do you use to determine whether a graph shows a function?
To determine whether a graph represents a function, you can use the vertical line test. If any vertical line drawn on the graph intersects the curve at more than one point, the graph does not represent a function. This is because a function must assign exactly one output value for each input value. If every vertical line intersects the graph at most once, then it is a function.
What does a point represent on a graph?
A point can represent a piece of data or an (x,y) value.
The graph of a function must pass the line test?
The line test, often referred to as the vertical line test, states that for a graph to represent a function, any vertical line drawn on the graph must intersect it at most once. This ensures that for every input (x-value), there is exactly one output (y-value). If a vertical line intersects the graph at more than one point, the relation is not a function. Therefore, passing the line test is a fundamental characteristic of a function's graph.
If all the data values in the class were compiled in a giant histogram and a curve was drawn over the graph where should the highest point on the curve occur?
At the modal value(s).
What is a way to see if a line on a graph is a function?
To determine if a line on a graph represents a function, you can use the vertical line test. If any vertical line drawn through the graph intersects the line at more than one point, then it is not a function. Conversely, if every vertical line intersects the graph at most once, it confirms that the line is indeed a function. This test helps ensure that each input (x-value) corresponds to exactly one output (y-value).
What is a point on the graph called if all nearby points have a smaller value?
A point on a graph, when all nearby points have a smaller value, is called a maximum.
A value is in the domain of a function if there is an on the graph of the function at that x-value?
point
What is a horizontal line on a graph?
On a 2 dimensional graph, the Y value is the same in each point on a horizontal line. The X value, however, changes. For example, the line Y=7 is an horizontal line; The Y value for every point on the line is 7, yet the X value changes. It is worth pointing out that the line will be straight.
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.
