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A graph of an equation (or function) helps to clarify the behavior of that equation. In this case, the behavior of the graph is just that: it describes how something acts-- for example:
- Whether it is a straight line or a bending curve
- How many times it changes direction and where
- Whether the y-value becomes greater or smaller (moves up or down), or stays constant, as it moves from left to right
- If it is discontinuous (skips around without warning, turns sharply, flies up into infinity for a while, or simply vanishes for a short time)
- What the equation must look like, such as a line for a linear equation (y = mx + b) or a parabola for a quadratic equation (y = ax2 + bx + c)
- When the equation crosses the x-axis, something that is very useful to know in Algebra and later mathematics
- How fast the equation is increasing or decreasing
- In Calculus, a graph can be used to find the derivative of a function, which is a new function that describes the slope of a function at each point
In general, a graph is a very useful tool to understand how an equation works, and can make encounters with new and unfamiliar forms of equations easier to understand.
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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
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)
What does the slope tell you about a function?
If you want to find the initial value of an exponential, which point would you find on the graph?
Graph the equation -5y equals -40?
35
What does the gradient of a graph tell you?
It tells you the rate of change of the variable mapped along the vertical axis relative to the change in the variable mapped along the horizontal axis.
How can you tell if a point is on a graph?
There is a dot on the graph
Why is it necessary to title a bar graph?
to tell them why you made this graph
What are the similarities between a line graph circle graph and bar graph?
First they all tell you the percentages of something and they tell you peoples opinion on things.
How can you tell a line graph increased?
The graph "moved" up the page (or screen).
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
What does the graph tell us?
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What does the line graph tell you about the relationship between the variables in an experiment?
What dose a line graph tell you about the relationship between the variables in an experiment
How can you tell if a graph sHow is a function?
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
How can you tell if a graph is an example of linear growth?
Linear growth means that the graph is a straight line.
What is the y-intercept in this graph?
This question cannot be answered because there is no graph to tell where the y-intercept is.
Can you tell from a displacemnt-time graph wheather an object is stationary?
Of course yes. An object is stationary when the graph is horizontal in a displacement-time graph.
What is the slope of a graph line?
it is impossible to tell the slope of a line graph without proper points to evaluate from.
