5

Determine where the graph of the function f(z) = 4 + 9z4/3 is concave upward and where it is concave downward;Concave up on (0, o), concave down on (=o, 01;No corr...

Question

Determine where the graph of the function f(z) = 4 + 9z4/3 is concave upward and where it is concave downward;Concave up on (0, o), concave down on (=o, 01;No correct answer choicc I5 given:Concave down on (0, e);Concave down on (0, w}, concave Up on (-c, 0}Concave up on (0, 6e}SAMSURG

Determine where the graph of the function f(z) = 4 + 9z4/3 is concave upward and where it is concave downward; Concave up on (0, o), concave down on (=o, 01; No correct answer choicc I5 given: Concave down on (0, e); Concave down on (0, w}, concave Up on (-c, 0} Concave up on (0, 6e} SAMSURG



Answers

Determine where the graph of the function is concave upward and where it is concave downward. $$ g(x)=-x^{2}+3 x+4 $$

All right on the graph, in the lower left were given a function F in red and a function G. And blue plotted on the X. Y axis, or rather on the xy plane. Given this information alone, you want to answer which of these is the function and which is its first derivative answering this question requires a fundamental understanding of the relationship between a function in its first derivative. There are several bits of information that could help us, but the one that we're going to rely on to solve this problem is the following. Wherever the slope of a function is zero, that is with a function goes from increasing to decreasing or decreasing to increasing. Its derivative must intercept the X axis. That is, its derivative must have a zero. So if we look at this graph, which introduce where the slope of one function is zero, where the others derivative intercepts the X axis. So for instance, we see at this zero for G that is intercepting the X axis. we see the exact same here occur for X equals zero. Notably, we see that for F it's location where it has a slope of zero does not intercept the X axis Fergie. So that means that we can conclude the function is G, and its derivative is at.

Mhm. We want to determine where the function F equals two, X squared minus three, experts. Four is concave up or concave down on X. We're going to have to follow the following two steps listed here too. In order to complete this problem first, we're gonna have to find the second derivative F prime and identify zeros are assigned jokes. The zeros are assigned to separate F prime into a series of intervals related to F. We're then going to evaluate F prime on each of these intervals where F prime is positive, function is concave up and where is negative? It's concave down. So let's get started. F F prime is four x minus three. So F double prime is four. So there are no zeros are absent jokes and our interval is just all X. So we have to evaluate F prime for all X, determine where the function is concrete. And concave down since f prime is four, we can immediately determine that for all X. F double prime is positive, which means that we can make a conclusion. The function F is concave down nowhere and concave up for all

All right, in the lower left were given the functions F in red and G in blue graphically we want to answer based on the graph alone, which is the function and which is the derivative. To answer this question, we need to have a fundamental understanding of the relationship between a function and its first derivative. There are several facts that we could use to solve this problem, but the most important one that we're going to rely on is the following where the slope of the function is zero. The derivative must intercept the X axis. So if we look at F and G here, we see very immediately that wherever G has a zero, F has a zero. So we're G has slope zero, or it moves from increasing, decreasing or increasing to decreasing at each point F intercepts the X axis. So, since this line up perfectly matches with our expectation for where the slope of one function must be zero. The derivative must be intercepting next access. We can conclude based on this, but the function is G. And the derivative is F.

Mm. We want to determine where the function F is concrete. Up and down. F is equal to the square root of four minus s. To answer this question, we're gonna need to follow the following two steps listed here first, we're gonna find the second derivative of F F double prime. And any zeros or incentives these heroes are asking Stones will break double prime and F into a series of interval of X, for which for step two we can evaluate the sign of a double prime on each of these intervals. Wherever F double prime is positive response came up with the prime is negative at this conclave down so let's proceed first. We have F prime equals negative 1/2 square the four minus X. So F double prime is simply negative 1/4 square two for minus X equals zero. This function has no zeros. And since both F double prime fr only to find for X less than equal to four, we have one interval check negative negative four. So on this interval we have that F double prime is negative, so we must have that for the entirety the function or for everywhere is defined. It just can't keep up nowhere. And for its concave down for negativity and negative 54 or for all X for which is defined.


Similar Solved Questions

5 answers
Icotatahic Lo 4e ~njZn+ 72 ZLzLtei Xng ond ELV2 McAhe DeterMile Inxticdloc Jalue Oke LD Mhic fWo_xings
icotatahic Lo 4e ~njZn+ 72 ZLzLtei Xng ond ELV2 McAhe DeterMile Inxticdloc Jalue Oke LD Mhic fWo_xings...
4 answers
Point)a. Find the solution to the initial value problemye t +3 = ~3, y(0) =-4help (equations)b. Discuss the behavior of the solution y(t) as t becomes large. Does lim y(t) exist? If the limit exists, enter t-0 its value If the limit does not exist; enter DNE:lim y(t) t-0help(numbers)
point) a. Find the solution to the initial value problem y e t +3 = ~3, y(0) =-4 help (equations) b. Discuss the behavior of the solution y(t) as t becomes large. Does lim y(t) exist? If the limit exists, enter t-0 its value If the limit does not exist; enter DNE: lim y(t) t-0 help (numbers)...
5 answers
Represmt tum3 2 + 4 = L,x20 as 0 vectoe funution 25Oa r) = Scos(2#) + Zsen(2 #t); 5 44t<4 4 4Cb.r() = Scos(2w) - Zsen() -4 sts4 Oc r) = Scos(t) + Zsen(); - #St< # 5 Od. r) = 2 N4-Pi+1,-05154
Represmt tum3 2 + 4 = L,x20 as 0 vectoe funution 25 Oa r) = Scos(2#) + Zsen(2 #t); 5 44t<4 4 4 Cb.r() = Scos(2w) - Zsen() -4 sts4 Oc r) = Scos(t) + Zsen(); - #St< # 5 Od. r) = 2 N4-Pi+1,-05154...
5 answers
Jua dJmtandananollDvon bob# Doletina anrihcr Ihe Jhan nicion TnuemnanocInaraatInang 4rzullno Incc 5anloci coltacl croc bukid inucuaann in Ino Mraxcuf 0020? locomdate MUT ccu Jnlgcr Vutt TT_Lartentn /un Vecim! Innn-Auincletnurdecocucud;Vahoru @urdb z[xo inanjosproduccd Ktore"narja Ilh Ino sM Jlor inccAhosurd b;tnolo Vrh Iro laner anolo Aha4ze07 <andbz <Hnracnm-Jucoteloc | arJ onled voalt Wrlanorlu widl Ieon clich Check Antawoeperto showuluChc:A
Jua dJmtandananoll Dvon bob# Doletina anrihcr Ihe Jhan nicion Tnue mnanoc Inaraat Inang 4 rzullno Incc 5 anloci coltacl croc bukid inucuaann in Ino Mraxcuf 0020? locomdate MUT ccu Jnlgcr Vutt TT_Lartentn /un Vecim! Innn- Auincletnurde cocucud;Vahoru @ urdb z [xo inanjos produccd Ktore "narja Il...
5 answers
7. cos @-sin e Cos?0 1 - tan 0
7. cos @-sin e Cos?0 1 - tan 0...
5 answers
2 At the point (1,1), the direction of the electric field is (a) 127 degrees: (b) 143 degrees (c) the negative X-direction (d) 217 degrees. (e) 233 degrees3 At the point (-1,1): the magnitude of the electric field is equal (a) 1 NIC (6) 3 NIC. (c) 4NIC. (d) SN/C. (e) 7NIC
2 At the point (1,1), the direction of the electric field is (a) 127 degrees: (b) 143 degrees (c) the negative X-direction (d) 217 degrees. (e) 233 degrees 3 At the point (-1,1): the magnitude of the electric field is equal (a) 1 NIC (6) 3 NIC. (c) 4NIC. (d) SN/C. (e) 7NIC...
5 answers
$$ext { If } 8 i z^{3}+12 z^{2}-18 z+27 i=0, ext { then } 4|z|^{2} ext { is }$$
$$ ext { If } 8 i z^{3}+12 z^{2}-18 z+27 i=0, ext { then } 4|z|^{2} ext { is } $$...
5 answers
Devise an algorithm for constructing the spanning forest of a graph based on deleting edges that form simple circuits.
Devise an algorithm for constructing the spanning forest of a graph based on deleting edges that form simple circuits....
1 answers
Find the numbers, if any, where the function is discontinuous. $$ f(x)=left{egin{array}{ll} frac{x^{2}-1}{x+1} & ext { if } x eq-1 \ 1 & ext { if } x=-1 end{array} ight. $$
Find the numbers, if any, where the function is discontinuous. $$ f(x)=left{egin{array}{ll} frac{x^{2}-1}{x+1} & ext { if } x eq-1 \ 1 & ext { if } x=-1 end{array} ight. $$...
5 answers
Fox) -ezudu: what is g(x)?None oftheabove2ezx8e2*
fox) - ezudu: what is g(x)? None oftheabove 2ezx 8e2*...
5 answers
Find the derivativer =14 0 8 cos 0 0 d = 807 cos 0 - 08 sin 0 d6 d = 807 sin 0 - 08 cos 0 d8 d d0 2 807 cos 0 + 08 cos 0 d d8 9 807 cos 0 + 08 sin 0 d d8 = 807 sin 0
Find the derivative r =14 0 8 cos 0 0 d = 807 cos 0 - 08 sin 0 d6 d = 807 sin 0 - 08 cos 0 d8 d d0 2 807 cos 0 + 08 cos 0 d d8 9 807 cos 0 + 08 sin 0 d d8 = 807 sin 0...
5 answers
[n Points]DETAILSHARMATHAP1O 9.1.013, Complete the table and predict the llmit, If It exists. (If an answer doe fx) = {7x - 1 for x < 1 (11 3x - x for x 2 10.90.990.9991.0011.011.1lim frx)MeaHelp?ReadItHTalk tot Tuter
[n Points] DETAILS HARMATHAP1O 9.1.013, Complete the table and predict the llmit, If It exists. (If an answer doe fx) = {7x - 1 for x < 1 (11 3x - x for x 2 1 0.9 0.99 0.999 1.001 1.01 1.1 lim frx) MeaHelp? ReadIt HTalk tot Tuter...
5 answers
Practice Problems 1.Let x = [2 5 [ 6]. Add 16 t0 each element Add 3 to just the odd-index elements. Compute the square root of each element Compute the square of each element
Practice Problems 1.Let x = [2 5 [ 6]. Add 16 t0 each element Add 3 to just the odd-index elements. Compute the square root of each element Compute the square of each element...
1 answers
Find the first five terms of the recursively defined sequence. $$a_{1}=-16 \text { and } a_{n}=\frac{a_{n-1}}{2} \quad \text { for } n \geq 2$$
Find the first five terms of the recursively defined sequence. $$a_{1}=-16 \text { and } a_{n}=\frac{a_{n-1}}{2} \quad \text { for } n \geq 2$$...
1 answers
In Exercises $21-28,$ convert each angle in radians to degrees. $$ -4 \pi $$
In Exercises $21-28,$ convert each angle in radians to degrees. $$ -4 \pi $$...
5 answers
The heat capacity of object 2 is twice that of object 1. Whenobject 1 had a temperature of 300 K and object 2 had a temperatureof 450 K, the two objects were isolated from the outside in thermalcontact. What is the temperature when the thermal equilibrium isreached?
The heat capacity of object 2 is twice that of object 1. When object 1 had a temperature of 300 K and object 2 had a temperature of 450 K, the two objects were isolated from the outside in thermal contact. What is the temperature when the thermal equilibrium is reached?...
5 answers
Your workshop team has calculated a pH 2.67 for weak acidMolecule X with an initial concentration of 0.010M using the “xapproximation” in their calculations. Are they correct? Explain.Use the test calculation for the x is small approximation in youranswer
Your workshop team has calculated a pH 2.67 for weak acid Molecule X with an initial concentration of 0.010M using the “x approximation” in their calculations. Are they correct? Explain. Use the test calculation for the x is small approximation in your answer...
5 answers
$70 O00 is invested in an account from which regular withdrawals are made every 3 months for 20 years: How much is each withdrawal if the interest rate is 5.5% per year; compounded quarterly?S1499.15S1121.30S1500.99S1448.18
$70 O00 is invested in an account from which regular withdrawals are made every 3 months for 20 years: How much is each withdrawal if the interest rate is 5.5% per year; compounded quarterly? S1499.15 S1121.30 S1500.99 S1448.18...

-- 0.021159--