The following problem is a parabola so there is only one turning points so the answer is going to be: 2
No.
They cannot.
If the denominator is zero at some point, then the function is not defined at the corresponding points.
Yes, if no endpoints are defined.
The answer is all the points on the line defined by 25x - 12y = 1
No.
They cannot.
If the denominator is zero at some point, then the function is not defined at the corresponding points.
Yes, if the function is equal to zero at x=0, the function is considered defined at that point. The function's value at x=0 does not impact its overall definition.
Two.Two.Two.Two.
Differentiation, is often used to find the tangent of a curved graph. Each time you differentiate a function, you decrease the number of turning points in the graph, to a minimum of no turning points i.e. y = 3x. Differentiating to different orders is also used to find tangents, of tangents.
Yes, if no endpoints are defined.
The answer is all the points on the line defined by 25x - 12y = 1
That's how "function" is defined. If you have two points with the same x-coordinates, you have a "relation", but not a "function". A function is a special type of relation. The idea of a function is that, for every value of the independent variable (for example, "x"), the dependent variable (for example, "y") is uniquely defined. In other words, you can consider a function as a rule that assigns a y-value uniquely to every x-value.
{| |- | A line is defined by naming at least two points. It contains an infinite number of points, but two have to be identified. A line can also be defined by a single point and a direction. |}
What were the different turning points of Pearl Harbor?
It is impossible to define a parabola with only two points given. An infinite number of parabolic functions will share the two points. Remember that a parabolic function [ax2 + bx1 + cx0] is defined by three coefficients: a, b and c. Two given points only allow you to form two equations with these coefficients. Three equations are generally needed to solve simultaneously for three variables, so three points need to be supplied to pin down your rule/function.