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if 2 < x < 6 ; which of the following statements about x are necessarily true, and which are not necessarily true?
a) 0 < x < 4
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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.
How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
Recall that the vertical line test is used to check whether a particular graph represents the graph of a function what are correct statements for this graph?
This graph fails the vertical line test at x = 3This graph is not the graph of a function.
When can a graph represent a function?
A graph represents a function if and only if every input generates a single output.
Is an oval a graph of a function?
No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.
Is the graph of a curve a function?
The graph if a function can be a curve, but it can also be any one of a ton of other shapes.
How do you know if a graph is a function?
A graph is a function if there is no more than one y-value for any x value. This means no vertical lines or "C" shapes, etc
When you are given a graph how can you come up with a rational function equation?
You cannot, necessarily. Given a graph of the tan function, you could not.
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 are the steps for finding a function rule if you are given the graph of a function?
In general, it is impossible. You could try putting together a data set using as many of the points as possible from the graph. Then try various regressions. You may have to perform transformations on the data if the function rule is not straightforward. This could require some very high level statistical techniques. You could be lucky and the graph is a straight line!
Can a line be a graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
Can a line be the graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
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 is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
How can you tell if a graph is a function?
A graph is a function if every input (x-value) corresponds to only one output (y-value). One way to check for this is to perform the vertical line test: if a vertical line intersects the graph at more than one point, the graph is not a function.
What is the line graph in which the data points do not fallalong a straight line?
A non-linear graph. It could be a polynomial (of a degree greater than 1), a power function, a logarithmic or trigonometric graph. In fact any mathematical function other than a linear equation.
