Learn Analyzing Functions and Graphs with Our Examples

Find the exact area enclosed by the following functions. (do not give decimals in the answer)
see (int1) for the functions
$f (x) = x^{2}$
$g (x) = - 3 x + 4$

Halkadvalseln 2021-11-18

Derivatives of logarithmic functions Calculate the derivative of the following functions. In some cases, it is useful to use the properties of logarithms to simplify the functions before computing $f^{'} 1 x 2$ .
$y = \log_{l 0} {x}$

vetrila10 2021-11-17

Determine which functions are polynomial functions. For those that are, identify the degree.
$f (x) = \frac{(x^{2} + 7)}{x^{3}}$

mronjo7n 2021-11-17

Use trigonometric substitution to integrate (Don’t forget to write your answer in terms of the original variable xand do not leave trigonometric functions evaluated at inverse trigonometric functions)
$\int \frac{\sqrt{x^{2} - 1}}{x^{4}} d x$

Aufopferaq 2021-11-17

Using a table to evaluate composite functions Use the function values in the table to evaluate the following composite functions.
a. $(f \cdot g) (0)$ b. $g (f (- 1))$
c. $f (g (g (- 1)))$ ,
$\begin{matrix} x & - 2 & - 1 & 0 & 1 & 2 \\ f (x) & 0 & 1 & 3 & 4 & 2 \\ g (x) & - 1 & 0 & - 2 & - 3 & - 4 \end{matrix}$

puntgewelb5 2021-11-16

When functions are defined by more than one equation, they are called $\underset{―}{}$ functions.

Edmund Adams 2021-11-16

For each function below, write the simplest composition using two of the functions from the given list.
$5 (\frac{1}{x}) =$
$5 (e^{x}) =$
$\sqrt{(x + 7)} =$
The next two functions are compositions of three different functions from the given list.
${(\frac{1}{x} + 7)}^{2} =$
$e^{x^{2}} + 7 =$

uneskovogl5 2021-11-16

What are the even Functions and Odd Functions?
A function f(x) is said to be an even function if: $f (- x) = f (x)$ , for all x.

vakirnarhh 2021-11-16

Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they have the same speed. [Hint: Consider $f (t) = g (t) - h (t)$ , where and are the position functions of the two runners.

EunoR 2021-09-15

Find the integer a such that
$a \equiv 99 (mod 41) and 100 \leq a \leq 140$

postillan4 2021-09-13

Find the integer a such that
$a \equiv - 15 (mod 27) and - 26 \leq a \leq 0$

pancha3 2021-09-05

Find the integer a such that
$a \equiv 24 (mod 31) and - 15 \leq a \leq 15$

ka1leE 2021-06-12

Explain the difference between an absolute minimum and a local minimum.
1) There is no difference.
2) A function f has an absolute minimum at $x = c$ if $f (c)$ is the smallest function value on the entire domain.
3) A function f has an absolute minimum at $x = c$ if $f (c)$ is the smallest function value when x is near c, whereas f has a local minimum at c if $f (c)$ is the smallest function value on the entire domain of f.
4) A function f has an absolute minimum at $x = c$ if $f (c)$ is the largest function value on the entire domain of f, whereas f has a local minimum at c if $f (c)$ is the largest function value when x is near c.
5) A function f has an absolute minimum at $x = c$ if $f (c)$ is the largest function value when x is near c, whereas f has a local minimum at c if $f (c)$ is the largest function value on the entire domain of f.

foass77W 2021-05-08

Find the First partial derivatives of the Function $z = x \sin (x y)$

midtlinjeg 2021-03-09

Error Analysis A student solved the equation $2 \cos θ = \sqrt{2} f o r 0 \leq θ < 2 π$ and got $θ = (π / 4)$ . What was her error?

Elleanor Mckenzie 2021-03-09

An investment program was set up using an annuity due with payments of $1,200 at the beginning of each quarter. Consider payments for 5 years are made into an account expected to pay 8% compounded quarterly. What is the amount of annuity?

rocedwrp 2021-03-07

Define univariate analysis?

Falak Kinney 2021-03-05

How much can a manager afford to pay for a baseball glove, if he wants a 25% markup on the selling price in order to have a $50 markup?

cistG 2021-03-04

Find and classify all the critical points for $f (x, y) = 3 x^{2} y - y^{3} - 3 x^{2} + 2$

Caelan 2021-03-02

A drill costs $85. Its markup ratte is 70% of the selling price. Find the markup and the selling price.

Analyzing functions and their corresponding graphs can be a daunting task, however with the right knowledge it can be quite straightforward. When analyzing a function, you can determine its domain and range, the x- and y-intercepts, the maximum and minimum points, the intervals of increase and decrease, the intervals of concavity, the end behavior, and the asymptotes. Additionally, when analyzing rational functions, you can find the vertical and horizontal asymptotes, the x- and y-intercepts, and the holes in the graph. Understanding and analyzing functions and their graphs is an important part of any math course, but don't worry if you're having trouble understanding. We have questions that might to help you with questions and equations, and to provide you with answers.

Differential Calculus

Learn Analyzing Functions with These Examples