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Does the rate of change have to be negative?
no... the sign indicates whether the rate of change is increasing or decreasing. It is only negative if the rate is decreasing over time.
What is X2-4 divided by x2 plus 3x plus 2 continuous or discontinuous?
The numerator function x2 - 4 and the denominator function x2 + 3x + 2 are both continuous functions of x for the entire x-axis. However, the quotient of these two functions is not continuous when the denominator function has the value of 0, because division by zero is not defined. The denominator function is 0 when x = -1 or -2. Therefore, the quotient function is not fully continuous over any intervals that include -1 or -2, but it is "piecewise continuous" over other intervals of the x-axis.
How do you show log x is convex?
Log x is defined only for x > 0. The first derivative of log x is 1/x, which, for x > 0 is also > 0 The second derivative of log x = -1/x2 is always negative over the valid domain for x. Together, these derivatives show that log x is a strictly monotonic increasing function of x and that its rate of increase is always decreasing. Consequently log x is convex.
Over the set of real numbers what is the domain of the composite function GF x?
The domain of your function is the set of real numbers.
What is the reflection through an x axis?
All y-values in the function are multiplied by -1. This function is 'flipped' over the x-axis.
Is global wealth increasing or decreasing over time?
decreasing per capita
Gun deaths increasing or decreasing in US?
Decreasing over the last 40 yrs or so
Does the rate of change have to be negative?
no... the sign indicates whether the rate of change is increasing or decreasing. It is only negative if the rate is decreasing over time.
How do you identify the range of a function?
The range of a function is the interval (or intervals) over which the independent variable is valid, i.e. results in a valid value of the function.
How can populations change?
Populations can change through birth (increasing population), death (decreasing population), immigration (increasing population), and emigration (decreasing population). Changes in these factors can result in population growth or decline over time.
What is the definition of non uniform speed?
Non-uniform speed refers to an object moving at a speed that is changing, either increasing or decreasing. This means that the object is not maintaining a constant velocity over time.
Are kangaroos decreasing or increasing in numbers?
The majority of kangaroo species have an erratic population pattern, increasing and decreasing with environmental conditions. There are over 60 species of kangaroo, however, and many of the lesser-known species are decreasing in number, especially those in the wallaby family. But the larger creatures commonly recognised as kangaroos, such as Red kangaroos and Grey kangaroos, remain common and prolific.
What are two ways to increase pressure exerted on an object?
You can increase pressure on an object by increasing the force applied to it or by decreasing the surface area over which the force is distributed. Pressure is defined as force per unit area, so by increasing force or decreasing area, you can increase pressure.
How do you think a graph of deceleration would differ from the graph shown above?
A deceleration graph typically shows a decreasing function where the value of deceleration is decreasing over time. This is in contrast to an acceleration graph, where the value of acceleration is typically constant or increasing over time. The deceleration graph would show negative values as the object slows down.
In science acceleration refers to increasing speed decreasing speed or changing what?
Acceleration in science refers to the rate of change of an object's velocity, which can involve increasing speed, decreasing speed, or changing direction. It is a vector quantity that describes how an object's motion is changing over time.
When water changes from liquid to gas is the temperature decreasing or increasing?
It is increasing in temperature. When you put a pot of water over a lit stove, it evaporates into its gas form, water vapor, which can also be called steam.
What are the two ways pressure can change?
Pressure can change by altering the force applied to the surface or by changing the area over which the force is distributed. Increasing the force or decreasing the area results in higher pressure, while decreasing the force or increasing the area results in lower pressure.
