Analyzing Functions Explained by Our Experts

The function:
$f (x) = - x^{5} - 5 x^{3} - 3 x^{2} + 12 x + 8$
concave or convex at $x = - 3$ ?

Bronson Olson 2022-04-21

If $f (x) = \sin x + \cos x,$ what are the x-coordinates of the points of inflection of the graph f (x)?

Esther Hoffman 2022-04-21

How do you use the second derivative to determine concave up / down for
$f (x) = 3 x^{3} - 18 x^{2} + 6 x - 29 ?$

ngihlungeqtr 2022-04-20

How do you find the intervals of increasing, decreasing and concavity for
$f (x) = 2 x^{3} + 3 x^{2} - 432 x ?$

Alan Zavala 2022-04-19

What intervals is $f (x) = \frac{5 x^{2}}{x^{2} + 4}$ concave up/down?

Camila Glenn 2022-04-19

What are parametric equations used for?

Angelina Kaufman 2022-04-18

How do you determine whether the function $F (x) = x + \frac{1}{x}$ is concave up or concave down and its intervals?

wadiad6qxb 2022-04-18

How do you determine whether the function $f (x) = x^{8} (\ln (x))$ is concave up or concave down and its intervals?

Jaylen Cantrell 2022-04-18

How do you determine whether the function $f (x) = \sin x - \cos x$ is concave up or concave down and its intervals?

Sebastian Fox 2022-04-18

How do you determine whether the function $f (x) = {(2 x - 1)}^{2} {(x - 3)}^{2}$ is concave up or concave down?

Gretchen Barker 2022-04-18

How do you determine where the graph of the given function is increasing, decreasing, concave up, and concave down for $h (x) = \frac{x^{2}}{x^{2} + 1}$ ?

Marshall Wolf 2022-04-18

How do you determine where the given function $f (x) = {(x + 3)}^{\frac{2}{3}} - 6$ is concave up and where it is concave down?

Brooks Barker 2022-04-18

How do you determine the intervals on which function is concave up/down and find points of inflection for $y = 4 x^{5} - 5 x^{4}$ ?

Nevaeh Glass 2022-04-18

How do you determine the concavity of a quadratic function?

Jewel Beard 2022-04-18

How do you determine if a function is concave up/ concave down if $\tan x + 2 x on (- \frac{π}{2}, \frac{π}{2})$ ?

Eddie Clarke 2022-04-17

What are the inflection points for $f (x) = - x^{4} - 9 x^{3} + 2 x + 4$ ?

Angelina Kaufman 2022-04-17

How do you find concavity, inflection points, and min/max points for the function: $f (x) = x (x^{2} + 1)$ defined on the interval $[- 5, 4]$ ?

gabolzm6d 2022-04-17

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

Ramiro Grant 2022-04-17

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

Mina Whitehead 2022-04-17

How do you determine whether the function $f (x) = \frac{4}{x^{2} + 1}$ 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