Analyzing Functions Explained by Our Experts

How do you determine whether the function
$F (x) = \frac{1}{12} X^{4} + \frac{1}{6} X^{3} - 3 X^{2} - 2 X + 1$
is concave up or concave down and its intervals?

Alivia Rojas 2022-04-17

How do you determine the interval(s) where the function $f (x) = x e^{- x}$ is concave down?

Brooks Barker 2022-04-16

Is $f (x) = x^{5} - 4 x^{4} + 16 x - 4$ concave or convex at $x = - 2$ ?

fernandoval3sbr 2022-04-16

Is the function concave up or down if $f (x) = {(\ln x)}^{2}$ ?

Marshall Wolf 2022-04-16

Is $f (x) = e^{x - 1} - \frac{x^{2}}{x - 1}$ concave or convex at $x = - 1$ ?

Rubi Riggs 2022-04-16

Is $f (x) = e^{x} - \frac{x^{2}}{x - 1}$ concave or convex at $x = 0$ ?

Brooks Barker 2022-04-16

Is $f (x) = x \cos x$ concave or convex at $x = \frac{π}{2}$ ?

Vanessa Mccarty 2022-04-16

Is $f (x) = x^{3} - x + e^{x - x^{2}}$ concave or convex at $x = 1$ ?

Rosa Townsend 2022-04-16

Is $f (x) = 3 x^{5} - x^{3} + 8 x^{2} - x$ concave or convex at $x = 0$ ?

Ormezzani6cuu 2022-04-16

Is $f (x) = 4 x^{5} - x^{4} - 9 x^{3} + 5 x^{2} - 7 x$ concave or convex at $x = - 1$ ?

painter555ui8n 2022-04-16

Is $f (x) = - x e^{x} + x^{3} - x^{2}$ concave or convex at $x = - 2$ ?

Abbey Ellison 2022-04-16

Is $f (x) = (x - 3) (x - 2) - x^{2} + x^{3}$ concave or convex at $x = - 1$ ?

Delilah Novak 2022-04-16

Is $f (x) = - 2 x^{5} - 3 x^{4} + 15 x - 4$ concave or convex at $x = - 4 ?$

Kennedy Ford 2022-04-16

What is the concavity of a linear function?

Christopher Stone 2022-04-16

How do you find the inflection point, concave up and down for $f (x) = x^{3} - 3 x^{2} + 3$ ?

Ean Hughes 2022-04-16

How do you determine whether the function $y = \ln x$ is concave up or concave down and its intervals?

Gustavo Lam 2022-04-16

How do you determine whether the function $f (x) = 3 x^{5} - 20 x^{3}$ is concave up or concave down and its intervals?

Mary Bates 2022-04-16

How do you determine whether the function $f (x) = x^{4} - 6 x^{3}$ is concave up or concave down and its intervals?

Frances Simon 2022-04-16

How do you determine whether the function $f (x) = x e^{- x}$ is concave up or concave down and its intervals?

Christopher Stone 2022-04-16

How do you determine whether the function $f (x) = - x^{4} - 9 x^{3} + 2 x + 4$ is concave up or concave down and its intervals?

As you are analyzing function completely ap problems, you will need clear examples that will contain detailed answers to your questions. Since there will be more than equations alone, the most important is to provide analysis. The same relates to analyzing function packet answers that can be either answered based on instructions (as in many replies below) as well as generated by various software. Reading through both examples will help you to see how calculus implements functions and what aspects of analysis must be provided to receive complete answers.

Calculus 1

Discover and Master Analyzing functions with Our Comprehensive Resources and Practice Problems