The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.) x −2 −1 0 1 2 f(x) 40.5 13.5 4.5 13.5 40.5 g(x) 0.2 0.6 1.8 5.4 10.8

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.) x −2 −1 0 1 2 f(x) 40.5 13.5 4.5 13.5 40.5 g(x) 0.2 0.6 1.8 5.4 10.8

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.3: Logarithmic Functions

Problem 8E: By finding the appropriate logarithmic or exponential form of the equation, as in Example 1.

See similar textbooks

Related questions

Q: Determine the force due to hydrostatic pressure on a gate of an 8 ft tank filled with water (62.4 lb...

Q: Write an expression for the distance w in terms of x. - 2y +1

A: Topic:- geometry

Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function f(x...

Q: Setup the integral that will give the area of the surface generated by revolving the curve g(y) = 2/...

A: Given curve g(y)=24-yWe need to calculate the area of the surface generated by the curve g(y) over t...

Q: All parts of this problem refer to the function below. y = (9+ 6x)²/¤ dy a) Use logarithmic differen...

A: We have to find derivative

Q: Obtain the Taylor series expansion of the function f(x) = cot x centered at a 4

Q: Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (I...

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: Given query is to find the the limit of the expression.

Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...

Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration.

Q: Let f(x,y) = x³y? The third derivative fexy

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: 2-28 Determine whether the series is absolutely convergent. conditionally convergent, or divergent. ...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is here the sequence...

Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And ∫e...

Q: Find an equation of the line tangent to the graph of G(x) = 7 e -5x at the point (0,7). The equation...

Q: )e*dx e2x +1 cot 3.

Q: For the surface x? + y? = 2z? a) Find an equation in cylindrical coordinates b) Find an equation in ...

Q: fre x'e*dx

A: Given: ∫0∞x2e-xdx

Q: A function F is an antiderivative of the function f on an interval I ifLfor all x e 1. (A) F(x) =f (...

A: A function F is an antiderivative of the function f on an interval I if

Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent va...

A: We are asked to find the non homogeneous second order euqation.

Q: elect the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ...

Q: Consider the following. f(x) = x* + 3 Find f'(x). f'(x) = Find the value of dy when x = -4 and dx = ...

A: f(x)= x4+3 Find 1) dy/dx 2) dy when x= -4 and dx= -0.01 3) ∆y when x= -4 and ∆x=-0.01

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, , 5x -2y' 2. The functio...

Q: Prove the identity 1÷(1-sinx) =sec^2 x +tanx secx

A: 1(1-sinx)=sec2x+tanxsecx

Q: Question 20 Determine the vertex V, focus F, and the equation of the directrix of the parabola (y- 4...

Q: Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time consum...

A: Hey, since there are multiple subparts posted, we will answer the first subpart as in b it asks to r...

Q: Problem 1: Find the area of the surface generated when the given curve is revolved about the y-axis....

Q: Consider the following curve. y = 3x2 13x + 1 Find the slope m of the tangent line at the point (5, ...

A: We have to find tangent line

Q: Consider the series > 5e". n=0 a. The general formula for the sum of the first n terms is Sn (5e( 1-...

A: This is a problem related to series calculation. Based on the simplified terms it was observed that ...

Q: Beth is filling a small backyard pool with a garden 647. hose. The pool holds 30 gallons of water. A...

Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = <8,1,-4) and b = <5,-2,1> Find , a+b, 4a+b, |a| , |a-b|

Q: f (x, y) = –3x²y + y³ satisfies Laplace's equation fex + fyy = 0

Q: The average speed of molecules in an ideal gas is 3/2 00 M 4 v = VT 2RT v³e¬Mv²/(2RT) du where M is ...

A: This question can be solved using the concept of integration by substitution

Q: f(–5) = f(4) = 0; f '(-0.5) = 0, f '(x) 0 for x > -0.5 What is the function with those given c...

A: We have to find function.

Q: 1. y’dx-(xy+ y² kdy = 0 Let the substitution y=2; y=vx; dy=vdx + xdv

A: Given that: y2dx-(xy+y2)dy=0

Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

Q: ese()2 TT csc 6 ? What is the exact value of

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) answer...

A: Given query is to find the the value of x where f(x) has asymptot.

Q: [ tam2 tam 2 sec 2 Bd ß

A: Given that: ∫5tan2β.etan2βsec22β.dβ

Q: e2x +2e* dx e* +1

Q: Compute the indicated derivative. U(t) = 5.9t2 + 5.9; U'(4)

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

Q: Obtain the Maclaurin series expansion (up to 6 terms) and compact form of the function: f(x) = 2sinh...

A: Given: f(x)=2sinhx

Q: 1. Determine the area under the curve y = x² + 5 from xX1 = 0 to x2 = 1.

Q: The distance of a car from the drivers home after x nours is given by the expression D (x) 2x2 + 20 ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = 3...

A: suppose c(t) is the cost in thousands ot dollars ,ot producing t tons of white paperIf C'...

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: We need to find center of mass.

Q: cot e*dx e2x +1

Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D...

A: Given f(x) = 2x-3 and g(x) = x+5 a) 2.g(x)=2(x+5) = 2x+10 b) ...

Question

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.)

x	−2	−1	0	1	2
f(x)	40.5	13.5	4.5	13.5	40.5
g(x)	0.2	0.6	1.8	5.4	10.8

Expert Solution

Step 1

Let's find.

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
You invest $500 at an annual interest rate of 5.25, compounded continuously. How long will it take your money to double? Compare your result with that of Example 10.
Growth Rate Versus Weight Ecologists have studied how a populations intrinsic exponential growth rate r is related to the body weight W for herbivorous mammals. In table 5.2, W is the adult weight measured in pounds, and r is growth rate per year. Animal Weight W r Short-tailed vole 0.07 4.56 Norway rat 0.7 3.91 Rue deer 55 0.23 White-tailed deer 165 0.55 American elk 595 0.27 African elephant 8160 0.06 Find a formula that models r as a power function of W, and draw a graph of this function.
By finding the appropriate logarithmic or exponential form of the equation, as in Example 1.
More on the Pacific Sardine This is a continuation of Example 5.1. In this exercise, we explore the Pacific sardine population further, using the model in Example 5.1. a. If the current level of the Pacific sardine population is 50,000 tons, how long will it take for the population to recover to the optimum growth level of 1.2milliontons? Suggestion: One way to solve this is to make a new logistic formula using K2.4, r0.338, and N(0)0.05. b. The value of r used in Example 5.1 ignores the effects of fishing. If fishing mortality is taken into account, then r drops to 0.215 per year with the carrying capacity still at 2.4milliontons. Answer the question in part a using this lower value of r. Note: The population estimate of 50,000 tons and the adjusted value of r are given in the paper by Murphy see footnote 3 on page 347. Murphy points out that factoring in the growth of the competing anchovy population makes the recovery times even longer, and he adds. "It is disconcerting to realize how slowly the population will recover to its level of maximum productivity ... even if fishing stops." Studies to fit a logistic model to the Pacific sardine population have yielded. N=241+239e0.338t where t is measured in years and N is measured in millions of tons of fish. Part 1 What is r for the Pacific sardine? Part 2 According to the logistic model, in the absence of limiting factors, what would be the annual percentage growth rate for the Pacific sardine? Part 3 What is the environmental carrying capacity K? Part 4 What is the optimum yield level? Part 5 Make a graph of N versus t. Part 6 At what time t should the population he harvested? Part 7 What portion of the graph is concave up? What portion is concave down?
Recall the formula for continually compoundinginterest, y=Aekt. Use the definition of a logarithmalong with Properties of logarithms to solve theformula for time t such that tis equal to a singlelogarithm.
Recall the compound interest formula A=a(1+rk)kt. Use the definition of a logarithm along withproperties of logarithms to solve the formula for time t.