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(d) The average speed in the interval 0 s to 10 s is the same as the average speed in the interval 10 s to 20 s. Explanation: (a) The slope of the v–t graph gives the acceleration. For the given graph, the slope is constant. So, acceleration is constant. (b) From 0 to 10 seconds, velocity is in positive direction and then in negative direction.
A function is increasing where from left to right, the y-value INCREASES, and decreases where the y-values DECREASE: a) the function is positive for x >1. b) the function is negative for x < 1. c) the function is never increasing. d) the function is decreasing for all x, where x =/= 1 (since the function is undefined at 1).
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$\begingroup$ The Icelandic term endanlegt fall is defined this way in a dictionary, and endanlegt means finite and fall means function. But that dictionary states that the English translation of the term is logic function (which I've never seen used in that meaning). $\endgroup$ – Bjartur Thorlacius Aug 21 at 11:18
Graphs of functions with different amplitudes and periods. Periodic Function A function f is said to be periodic if f(x + P) = f(x) for all values of x. The constant P is called the period, and is required to be positive. A function with period P will repeat on intervals of length P, and these intervals are sometimes also referred as periods.
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In this section we will discuss what the first derivative of a function can tell us about the graph of a function. The first derivative will allow us to identify the relative (or local) minimum and maximum values of a function and where a function will be increasing and decreasing. We will also give the First Derivative test which will allow us to classify critical points as relative minimums ...
Ho to find function the Superimum of function (sup f(x) ), for example, I want to find the supremum of the exponential distribution i.e. f(x)=lambda*exp(-lambda*x)