function increasing and decreasing

Increasing and Decreasing Functions - This section explains how derivative can be used to check whether a function is increasing, decreasing or neither increasing nor decreasing in its domain. Let f be a function..

Let f be a function defined on an interval I and let x 1 and x 2 be any two points on I. (i) f is said to be increasing in the interval I, ..

Find the percent of change from 75 to 40 and say whether the change is an increase or decrease. => 46.66% increase or 56.66% decrease or 46.66% decrease or 75% increase..

Which of the following statement(s) is/are true for the graph of the function f ( x ) = x sin x in the interval [- π, π]? I. x - intercepts are (0, 0), (- π, 0) and (π, 0). II. The graph is decreasing in (- π, 0). III. y - intercept is (0, 0). IV. The graph is ..

The line graph represents the change in the number of people of a state who are interested in fashion. Say whether the number would increase or decrease next year. => Decrease or Increase..

Describe the trend a scatter plot would show, when one set of data increases, and the other set tends to decrease. => No trend or Positive trend or Negative trend..

William spends one hour meditating everyday from Monday to Friday. Say whether the time spent by him meditating on Saturday of the week would increase or decrease. => Increase or Decrease or Remains same..

We see that as x increases, the value of e x also increases indefinitely. Also, as x decreases, the value of e x tends toward zero. The function e x is one-on..

Choose the exponential function with the initial value as 6, increasing at a rate of 48% per year. => S( t ) = (1.48) t or S( t ) = 6(1.48) t or S( t ) = 6(0.48) t or S( t ) = 6(1.16) t..

Choose the exponential function with the initial value 12, decreasing at a rate of 0.47% per week. => S( t ) = 47(0.0012) t or S( t ) = 12(0.0047) t or S( t ) = 12(0.9953) t or S( t ) = 47(0.0995) t..