The same as multiplying any other function by a negative number - after multiplying, positive numbers will become negative numbers, and vice versa.
The graph of -k*sin(x) is a reflection of the graph of sin(x) in the x-axis which is then enlarged by the scale factor k.
Yes it does
Multiplying a function by -1 will make it a reflection of the original function across the x axis.
The Mandelbrot graph is generated iteratively and so is a function of a function of a function ... and in that sense it is a composite function.
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).
The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.
Yes it does
x
Multiplying a function by -1 will make it a reflection of the original function across the x axis.
No, a circle graph is never a function.
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.
Add
Two.
Yes the graph of a function can be a vertical or a horizontal line
Yes the graph of a function can be a vertical or a horizontal line
sine graph will be formed at origine of graph and cosine graph is find on y-axise
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.
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.