Welcome come allisonbrookephotography.com question & answers Community. Ask any kind of math/science homework question and also receive answers from various other members the the community.Q&A CategoriesBASIC MATH(93)PRE-ALGEBRA(441)ALGEBRA 1(2,216)GEOMETRY(864)ALGEBRA 2(2,745)TRIGONOMETRY(1,186)PRECALCULUS(1,903)CALCULUS(2,791)STATISTICS(129)PHYSICS(658)CHEMISTRY(136)MECHANICAL ENGINEERING(64)ELECTRICAL ENGINEERING(207)Winplot Tutorials(2)

Most famous tagssolving-equationssystem-of-equationsfunctionsmathslope-intercept-formphysicshomework-helptrigonometric-identitiesintegrationsubstitution-methodlimitscalculus13,435 questions17,804 answers1,438 comments126,449 users

(Round your answer down to 3 decimal places.)

δ=?

2)Use the provided graph offto discover a numberδsuch thatif

http://imgur.com/qIpDK9r

please log in or it is registered to include a comment. you re welcome log in or it is registered to prize this question. 2 answer 0 votes

**Step 1:**

(1)

The duty is

.You are watching: Use the given graph of f(x) = x to find a number δ such that if |x − 4| < δ then x − 2 < 0.4.

Find

such that whenever .**Definition of limit:**

Let

be a role defined ~ above an open interval containing and also let be a genuine number.The declare

means that for every

, there exists a such the , climate .**Step 2:**

We need to create a connection between

and .Consider

.Solve the inequality.

Subtract

from each side.Since

,Compare the above with

, climate .**Solution:**

**Step 1:**

(2)

Find

such that whenever .**Definition of limit:**

Let

be a duty defined top top an open interval containing and let be a actual number.The statement

means that for each

, over there exists a such that , then .**Step 2:**

Consider

.Observe the graph:

Compare

and .See more: What Is 36 Degrees Celsius In Fahrenheit ), What Is 36 Degrees Celsius In Fahrenheit

**Lower value:**

**Upper value:**

The worths of

room 0.1 and also 0.3**Solution:**

The values of

are 0.1 and also 0.3.answeredFeb 2, 2015by LucyMentor you re welcome log in or register to add a comment. related questions(a) compose the inequalities |f(x) − L| askedFeb 3, 2015in CALCULUSby anonymousinequalitiesdeltaepsilon If f(x) = ln(x^2 + 1) , find the number a (exact) such that f(3)−f(1)/(3−1) = ln aaskedJan 15, 2015in CALCULUSby anonymouslogarithmic-expression -1.3askedOct 20, 2019in CALCULUSby anonymousfinddelta border of role using epsilon delta proofaskedSep 28, 2015in CALCULUSby anonymouslimitsepsilondeltainequalitiesfunctions provided the border statement lim x→−2 (−3askedFeb 3, 2015in CALCULUSby anonymousinequalitiesepsilondeltalimit usage a graphing utility to uncover the derivative of the function at the provided pointaskedJan 22, 2015in CALCULUSby anonymoustangentderivative-of-the-functiongraph uncover the slope of a heat parallel to the graph of each equation : y = 2/7x + 1askedMar 15, 2013in ALGEBRA 1by mathgirlApprenticeslopegraph use a graphing energy to graph the equation.askedJan 22, 2015in CALCULUSby anonymoustangentgraph choose the graph that matches the adhering to system of equations: 2x + y = −1 3x + 2y = −6askedOct 26, 2016in ALGEBRA 2by anonymousgraphsystem-0f-equations discover two explicit attributes by solving the equation because that y in regards to x,askedJan 22, 2015in CALCULUSby anonymousderivative-of-the-explicit-functiongraph use the limit process to uncover the area that the region bounded through the graph of the functionaskedOct 5, 2014in CALCULUSby anonymouslimit-processareagraphintervalgeometric uncover an equation of the tangent heat to the graph of x^2/2 + y^2/3 = 5 in ~ the allude (8,1)askedSep 21, 2014in CALCULUSby anonymoustangent-linegraph 0">Find the limit L.Then usage the Ɛ -δ definition to prove the LaskedJan 7, 2015in CALCULUSby anonymouslimits If Rolle" s Theorem deserve to be applied, find all values of c in the open up interval (a, b) such that f " (c) = 0.askedJan 23, 2015in CALCULUSby anonymousrolles-theorem find the constant a, or the constants a and b, such the the duty is consistent on the entire real lineaskedJan 9, 2015in CALCULUSby anonymousfunctions let f(x)=8x^2. Discover a value A such that the typical rate the changeaskedNov 23, 2013in CALCULUSby abstain12Apprenticeaverage-rate-of-change compose a duty of g who graph is translated 2askedSep 29, 2018in ALGEBRA 2by anonymousgraphshift I"m having a little bit of trouble with displacement and velocity.askedNov 9, 2014in PHYSICSby hana_24Novicedisplacementtime-positiongraph The parabola below is a graph that the equation y= ( x-1)^2 - 3askedSep 30, 2014in ALGEBRA 2by anonymousvertices-of-a-hyperbolatangent-linegraphparabolas just how do you read a graph if that changes?askedFeb 27, 2014in ALGEBRA 1by angel12Scholargraphing-equationgraph