Intervals where a curve is concave down are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

... boxes, your answer should either be a single interval, such as [0,1), a comma separated list of intervals, such as ... at x=1 and x=2. The green curve is the ...

... 0,0). At around (.7,.4) the curve begins decreasing ... a sinusoidal function crossing the x-axis at regular intervals. ... for all x and g(x) is concave down for all x ...

... The curve does not intercept with x-axis. ... y=1 f)intervals of increase or decrease. ... of inflection For x > √3 or x < -√3, f(x) < 0. => f(x) concave down. ...

...intervals where f is concave up 11 ... 3. x intercepts of f: The curve does not cut the y-axis ... 7. intervals where f is increasing and decreasing: xe x − exex ( x ...

... In the interval 0 to π, x = π/3, 2π/3. ... Since there is no change in sign, it cannot be said confidently as to which intervals is the curve concave up or ...

...concave up at this point, and the function concaves down at x=4. So the interval is (−∞, 4) for the function to concave up. Here is the curve for the ...

... Find the intervals of concavity ... is concave down, (-4,0) is concave up, and (-oo, -4) is concave down. ... At x= -6, the curve starts to move down, eventually cross ...

... 7. Find intervals of concave downward. ...Concave down and Concave up : If f''(x) >0 means the curve is concave up and if f''(x)<0 , then the curve is cancave down...

... 1.5 -1 -0.5 0 0.5 1 1.5 x 2. Find the intervals where the following curve is concave... be a function whose second derivative exists on an open interval I. If ...