Analyzing Functions Explained by Our Experts

How do you determine whether the function $y = x^{2}$ is concave up or concave down and its intervals?

Willie Kelley 2022-04-15

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

wadiad6qxb 2022-04-15

How do you determine whether the function $f (x) = 5 + 12 x - x^{3}$ is concave up or concave down and its intervals?

alahovom7ahc 2022-04-15

How do you determine whether the function $f (x) = \frac{x}{x^{2} - 5}$ is concave up or concave down and its intervals?

Miguel Hanson 2022-04-15

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

Marshall Wolf 2022-04-15

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

Terrence Riddle 2022-04-15

How do you determine whether the function $f (x) = 2 x^{3} + 3 x^{2} - 432 x$ is concave up or concave down and its intervals?

alahovom7ahc 2022-04-15

How do you determine whether the function $\ln (x^{2} + 10)$ is concave up or concave down and its intervals?

fanairana7lu1 2022-04-14

Is $f (x) = x \ln x - x$ concave or convex at $x = 1$ ?

Dakota Livingston 2022-04-14

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

Delilah Novak 2022-04-14

Is $f (x) = \sin x$ concave or convex at $x = - 1$ ?

Kale Bright 2022-04-14

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

Aliyah Mendez 2022-04-14

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

gabolzm6d 2022-04-14

Is $f (x) = - x^{5} + 3 x^{4} - 9 x^{3} - 2 x^{2} - 6 x$ concave or convex at $x = 8$ ?

Brielle James 2022-04-14

Is $f (x) = - 8 x^{5} - x^{2} + 5 x - 4$ concave or convex at $x = - 4 ?$

Dakota Livingston 2022-04-14

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

Terrence Riddle 2022-04-14

Is $f (x) = - 2 x^{5} - 2 x^{4} + 5 x - 45$ concave or convex at $x = - 2 ?$

Boston Fitzgerald 2022-04-14

For what values of x is $f (x) = - x^{3} + x^{2} + 2 x + 5$ concave or convex?

Brooks Barker 2022-04-14

For what values of x is $f (x) = - x^{3} - 4 x^{2} + 2 x + 5$ concave or convex?

Braden Hatfield 2022-04-14

For $f (t) = (\frac{t}{t - 3}, \frac{t}{\sqrt{t^{2} + 1}})$ what is the distance between f(0) and f(1)?

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

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