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Can the graph of a function be reflected cross both the x and y axes simultaneously?
Wiki User
∙ 7y ago
In a sense, yes. This type of reflection, in which a function is reflected over both the x and y-axes, is a possible characteristic of odd functions and is known as origin reflection, or reflection about the origin.
Wiki User
∙ 7y ago
Wiki User
∙ 9y agoYes.
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When the discriminant is negative will the graph of the function cross or touch?
The graph will cross the y-axis once but will not cross or touch the x-axis.
How does the parity evenness oddness of a polynomial functions degree affect its graph?
An even function is symmetric about the y-axis. The graph to the left of the y-axis can be reflected onto the graph to the right. An odd function is anti-symmetric about the origin. The graph to the left of the y-axis must be reflected in the y-axis as well as in the x-axis (either one can be done first).
Is it possible for graph of function to cross the horizontal assymptotes?
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
How do you recognize a function graph?
Assuming that the independent variable (often called "y") is along the vertical axis: to be a function, no vertical line may cross the graph in more than one place.
What is the effect on a graph when you multiply a function by -1?
When a function is multiplied by -1 its graph is reflected in the x-axis.
When the discriminant is negative will the graph of the function cross or touch?
The graph will cross the y-axis once but will not cross or touch the x-axis.
An asymptote is a line that the graph of a function?
approaches but does not cross
Why doesnt the graph of a rational function cross its vertical asymptote?
It can.
Can the graph of a function yfx always cross the y-axis?
No. It depends on the function f.
How does the parity evenness oddness of a polynomial functions degree affect its graph?
An even function is symmetric about the y-axis. The graph to the left of the y-axis can be reflected onto the graph to the right. An odd function is anti-symmetric about the origin. The graph to the left of the y-axis must be reflected in the y-axis as well as in the x-axis (either one can be done first).
What is the maximum number of times the graph of the quadratic function can cross the x-axis?
Two.
Is it possible for graph of function to cross the horizontal assymptotes?
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
How many times will the graph of a quadratic function cross or touch the x-axis if the discriminant is positive?
It will cross the x-axis twice.
If the discriminant is zero the graph of a quadratic function will cross or touch the x-axis time s?
It will touch the x-axis and not cross it.
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
How do you recognize a function graph?
Assuming that the independent variable (often called "y") is along the vertical axis: to be a function, no vertical line may cross the graph in more than one place.
