Analyzing Functions Explained by Our Experts

Consider the following monster rational function.
$f (x) = \frac{x^{2} - 3 x^{3} - 21 x^{2} + 43 x + 60}{x^{4} - 6 x^{3} + x^{2} + 24 x - 20}$
Analyzing this function will synthesize many of the concepts of this and earlier sections.

2022-01-17

Find the vertices and foci of the conic section without axis rotation by analyzing the graph geometrically in the xy-plane. (Note dun all four graphs ore symmetric about the lines $y = x$ and $y = - x$ .) The hyperbola $x y = 4$

2022-01-17

Find the vertices and foci of the conic section without axis rotation by analyzing the graph geometrically in the xy-plane. (Note dun all four graphs ore symmetric about the lines $y = x$ and $y = - x$ .) The hyperbola $x y = - 4$

Daniell Phillips 2022-01-15

Justify that you have found the requested point by analyzing an appropriate derivative.
$x = t + 1$
$y = t^{2} + t$
$- 2 \leq t \leq 2$
Lowet point.

Daniell Phillips 2022-01-15

How do you determine the concavity for $f (x) = x^{4} - 32 x^{2} + 6 ?$

reproacht3 2022-01-14

What x values is the function concave down if $f (x) = 15 x^{\frac{2}{3}} + 5 x ?$

deiteresfp 2022-01-14

Justify that you have found the requested point by analyzing an appropriate derivative.
$x = \ln (5 t)$
$y = \ln (4 t^{2})$
$0 < t \leq 10$
Rightmost point.

eliaskidszs 2022-01-13

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

James Dale 2022-01-13

Determine the end behavior of the following transcendental functions by analyzing appropriate limits. Then provide a simple sketch of the associated graph, showing asymptotes if they exist.
$f (x) = \sin x$

Dowqueuestbew1j 2022-01-13

By analyzing the locus $x^{2} + y^{2} = 1$ prove that the polynomial $x^{2} + y^{2} - 1$ is irreducible in $C [x, y]$

Arthur Pratt 2022-01-13

The following series are neither arithmetic nor geometric, but by analyzing their patterns, you can find their sums. Find the sum of each series.
$\sum_{k = 1}^{20} (2^{k} + k)$

abreviatsjw 2022-01-13

The following series are neither arithmetic nor geometric, but by analyzing their patterns, you can find their sums. Find the sum of each series.
$\sum_{n = 1}^{12} (2^{n} - 1)$

quiquenobi2v6 2022-01-12

Explain how to apply the First Derivative Test.

Joyce Smith 2022-01-12

what are the inflection point
relationship of stationary point and critical point
what are the critical points
$f (θ) = \sin θ \cos^{2} θ - \frac{\cot θ}{θ} + 1$ Domain: $[0, 2 π]$

jubateee 2022-01-12

Answer about the graph of the quadratic function
$y = f (x) = - 16 x^{2} + 160 x - 256$
by analizing the equation algebraically. Then support your answer graphically. What are the x-intercepts?

Bobbie Comstock 2022-01-12

Solve the given problem.
In analyzing the tuning of an electronic circuit, the expression
${[ω ω_{0}^{- 1} - ω_{0} ω^{- 1}]}^{2}$
is used. Expand and simplify this expression.

f(x)=x/1+x g(x)=sin2x

Inyalan0 2021-12-21

Find the linearization $L (x)$ of the function at a.
$f (x) = x^{4} + 6 x^{2}, a = - 1$

William Cleghorn 2021-12-19

How to write $x^{\frac{1}{2}}$ in radical form?

obrozenecy6 2021-12-17

Write some examples of non differentiable functions

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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