9514 1404 393
Answer:
it depends
Step-by-step explanation:
The ideas of "increasing" or "decreasing" have to do with the sign of the derivative of a function. The derivative of a function is a limit, which is only defined if the point can be approached from both sides. For a function that is only defined on an interval, the derivative is undefined (hence "increasing" or "decreasing" are undefined) at the end points of the interval.
When the function is defined on an interval, "increasing" or "decreasing" can only be determined on that open interval. There may also be critical points within an interval at which the derivative is either zero or undefined. Those points must also be excluded from any interval of "increasing" or "decreasing".
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If a function is defined over a domain that extends beyond the interval of interest, then the derivative may very wll be defined a the end points of the interval of interest. As a simple example, consider a line with defined non-zero slope: y = kx, k≠0. For k>0, the line will be increasing everywhere. The slope is defined at the end points of any finite interval, so the function can be said to be "increasing" on the closed interval.
Similarly, if the (finite) interval of interest includes the vertex of a parabola defined for all real numbers, the function will be "increasing" on one side of the vertex, and "decreasing" on the other side. Both the "increasing" and "decreasing" intervals will be half-open intervals. The point at the vertex will not be included in either of them.
Answer:
In a right triangle two of these are merged into the same square, so there are only two distinct inscribed squares. However, an obtuse triangle has only one inscribed square, one of whose sides coincides with part of the longest side of the triangle.
Step-by-step explanation:
Answer: “A” Opportunity cost is “the value of an investment opportunity you pass up in order to take another investment opportunity .” It’s pretty much the sacrifice you make to do something else.
Ex. To earn volunteer hours, Billy decided not to go to Bob’s birthday party.
Answer:
Mac is 19 years old, Joe is 11 years old
Step-by-step explanation:
2J - 3 = M
J + M = 30
M = 30 - J
2J - 3 = 30 - J
3J = 33
J = 11
M = 30 - 11
M = 19
Answer:
Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);
Step-by-step explanation:
even after a reflection over the x-axis, each points distance from the x-axis will stay the same
the x-coordinates don't change because the distance from the y-axis stays the same
the picture below shows points of Q'R'S'T', just connect the vertices
