Analyzing Functions Explained by Our Experts

At what point does the curve have maximum curvature? What happens to the curvature as x tends to infinity $y = \ln x$

sjeikdom0 2021-05-19

For which nonnegative integers n is
$n^{2} \leq n! ?$

Falak Kinney 2021-05-14

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.
$f (x, y) = x^{3} - 6 x y + 8 y^{3}$

Lennie Carroll 2021-03-05

Polynomial function's f(x) coefficients are real numbers. Find the remaining zeros of f. Degree 6, zeros: i, 3 - 2i, -2 + i

ddaeeric 2021-02-11

Find an nth-degree polynomial function with real coefficients satisfying the given conditions. Verify the real zeros and the given function value. n = 3, 2 and 2 - 3i are zeros, f(1) = -10

FobelloE 2021-02-09

Evaluate the indicated expressions and simplify.
$f (x) = x^{2} + 1, f (x + 2), f (x) + f (2) .$

Aneeka Hunt 2021-02-08

Find the $(f + g) (x) and (f - g) (x)$ , if $f (x) = 10 x - 8 and g (x) = 5 x + 7$

Haven 2021-02-04

Find all values $x = a$ where the function is discontinuous.
$f (x) = 8 x^{2} + 8 x + 4 .$

hexacordoK 2021-01-23

Find the region enclosed by the curves $x = 3 y^{2} and x = y^{2} + 7$
List the points of intersection of these curves from bottom to top in the form (x, y).

Reeves 2021-01-19

Find the difference quotient of f, that is, find $\frac{f (x + h) - f (x)}{h}, h \neq 0$ , for each function. Be sure to simplify. $f (x) = \frac{1}{x + 3}$

hexacordoK 2021-01-15

What period do the sine, cosine, cosecant, and secant functions have?
What period do the tangent and cotangent functions have?

shadsiei 2021-01-15

The function f(x) is linear. Write a formula for f(x) that satisfies the conditions: slope $= - \frac{3}{4}$ , y-intercept $= \frac{1}{3}$

texelaare 2021-01-15

Find the derivative of the function $f (x) = \ln (e^{x} + 12)$

Wierzycaz 2021-01-08

Is the statement true or false? "The domain and the range of the reciprocal function are the set of all real numbers."

ossidianaZ 2021-01-04

Find the vertex, focus, and directrix for the parabolas:
a) ${(y - 9)}^{2} = 8 (x - 2)$
b) $y^{2} - 4 y = 4 x - 2^{2}$
c) ${(x - 6)}^{2} = 4 (y - 2)$

opatovaL 2021-01-02

Which one of the following function has an inverse?
$f (x) = x^{2}, g (x) = x^{3}$

Isa Trevino 2021-01-02

Sketch the graph of the function $f (x) = - x^{3} + 3 x^{2} - 7$ . List the coordinated of where extrema or points of inflection occur. State where the function is increasing or decreasing as well as where it is concave up or concave down.

sjeikdom0 2020-12-21

Write the function $y = - \sin x$ as a phase shift of $y = \sin x$ .

slaggingV 2020-12-13

Graph the equation and identify the y-intercept.
$y = x + 5$

fortdefruitI 2020-11-27

Find the area between the curves $y = e^{- 0.7} x and y = 2.1 x + 1$ from x = 0 to x =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

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