MATH 1003?
point
(0,a)
Because each vertical lines meets its graph in a unique point.
A cuboid has rotational symmetries of order 2 around each of the three axes going through a pair of opposite faces.
cubic function cubic function
)the answer is the left end of the graph of the function goes up and the right goes down, 2)it has 5 zeros and at most 4 relative maximums and minimums, 3)and it is a reflection and a translation to the left of the parent function.
Any point on the graph can be the center of a circle. If the center is on the x-axis, then the circle is symmetric with respect to the x-axis.
Yes, it is symmetric about a line perpendicular to it at any point.
The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.
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.
Hamilton School?? HA HA! I believe the answer is Symmetry.
The point group for Al2Cl6 is (D_{3h}). It consists of two Al atoms and six Cl atoms arranged in a symmetric manner with a trigonal prismatic geometry.
The depth of a lake at a center point is a function of the distance of that point from shore.
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.
For example, y = ax2 + bx + c (the equation of a parabola). Every parabola has an axis of symmetry and the graph to either side of the axis of symmetry is a mirror image of the other side. It means that if we know a point on one side of the parabola, we can find its symmetric point to the other side, based on the axis of symmetry. Those symmetric points have opposite x-coordinate values, and the same y-coordinate value. The vertex only is a single point which lies on the axis of symmetry.
Cubic functions usually have 2 vertices or none at all. It is not possible for a cubic function to have only one vertex because the end result of both "tails" of a cubic function must tend towards positive infinity and negative infinity (in other words, they are in opposing directions). Having only one vertex would result in the tails tending towards either positive infinity or negative infinity and therfore being in the same direction. For this reason, cubic functions cannot be written in vertex form.