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A graph between two changing quantities visually represents the relationship between them, typically with one quantity plotted on the x-axis and the other on the y-axis. The shape of the graph can reveal trends, patterns, and correlations, such as linear, exponential, or cyclical relationships. Analyzing the graph allows for insights into how one quantity affects the other over time or under varying conditions. Overall, it serves as a powerful tool for understanding complex data interactions.
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Is the graph of an ellipse a function?
Yes. It's the graph of [ Y = f(X) ] described by (X/A)2 + (Y/B)2 = C2 A, B, and C are constants. If 'A' and 'B' are both '1', then the graph is a circle with radius 'C'.
How many vertical asymptotes does the graph of this function have?
2
How does the graph of the cosine function differ from a graph of a sine function?
the graph of cos(x)=1 when x=0the graph of sin(x)=0 when x=0.But that only tells part of the story. The two graphs are out of sync by pi/2 radians (or 90°; also referred to as 1/4 wavelength or 1/4 cycle). One cycle is 2*pi radians (the distance for the graph to get back where it started and repeat itself.The cosine graph is 'ahead' (leads) of the sine graph by 1/4 cycle. Or you can say that the sine graph lags the cosine graph by 1/4 cycle.
The graph of y 2 x contains which of these points?
The graph of y 2 x contains the following points: (0,0) (1,1) (-1,1) (2,4) (-2,4) (3,9) (-3,9)
How can the graph of a fourth degree polynomial have its only x intercepts 0 1 and 2?
Easy. Same thing as the graph of f(x) = x^2 + 1 which have NO intercept.
When are 2 quantities proportional when it comes to a table or graph?
1) It has to go through the origin (0,0). 2) It has to be consistent.
What is the difference between a bar graph and a double bar graph?
a bar graph is just a graph but a double bar graph compares 2 things!
How do you do you average speed on a graph?
Assuming it's a graph of speed vs time, then between 2 times, the average is the distance (= area under the graph between those times) divided by the time difference.
What is a ratio between 2 different quantities?
A ratio between two (usually) different quantities is the rate. Usually used to describe something compared to a quantity of time.
How do you find average speed on a graph?
Assuming it's a graph of speed vs time, then between 2 times, the average is the distance (= area under the graph between those times) divided by the time difference.
What is the relation between the quantities involved of 4 and -2?
6
What is the similarities between a sine graph and a cosine graph?
Both sine and cosine graphs are periodic functions with a periodicity of (2\pi), meaning they repeat their values every (2\pi) radians. They both have an amplitude of 1, oscillating between -1 and 1. Additionally, the sine graph is a horizontal shift of the cosine graph; specifically, the cosine graph can be expressed as the sine graph shifted to the left by (\frac{\pi}{2}) radians. Both graphs exhibit similar shapes, featuring smooth, continuous waves.
What does translation mean for algebra 2?
In algebra 2, translation refers to shifting a graph or equation horizontally, vertically, or both without changing its shape or size. This is done by adding or subtracting values to the x or y coordinates of each point on the graph or equation. Translations help us explore the effects of changing variables on a given function.
Steps to create a graph to show relationship between 2 related variables?
eta
Does it matter which term is first and which term is second in a ratio since the ratios are different than fraction?
Yes, the order of terms in a ratio matters because it indicates the relationship between the two quantities. Unlike a fraction, which represents division and can be reversed without changing the value (e.g., 1/2 is the same as 0.5), a ratio conveys a specific comparison. For example, a ratio of 2:3 implies a different relationship than 3:2, representing distinct proportions between the two quantities.
In a coordinate graph of two related variables when does it make sense to connect the points?
When the data on the graph is continuous,it does make sense to connect the points on the graph of 2 related variables.
What is the difference between a graph and a diagram?
The difference between graph and diagram :- Diagram 1) Diagram can be drawn on plain paper and any sort of paper. 2) Diagram is more effective and impressive. 3) Diagram have everlasting effect. 4) Diagram cannot be used as median, mode etc. 5) Diagram can be represented as an approximate idea. Graph 1) Graph can be drawn only on plain paper. 2) Graph is not more effective and impressive. 3) Graph don't have everlasting effect. 4) Graph can be used as median, mode etc. 5) Graph cannot be represented as an approximate idea.
