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mathematics
college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

Determine if f is one-to-one. 2 y=f(x) 2
Find f-1 (x). f(x) = 3x - 5
Use the tables to evaluate the given expression. 0 1 2 f(x) 4 3 2 3 1 x g(x) 0 1 02 2 3 3 4
Find f-1(x). f(x) = x ³7 3x x+7
Verify that f(x) = 2x - 1 andare inverses. 17 x = (x) ₁-f +
The table is a complete representation of f. Use the table to determine if f is one-to-one and has an inverse. x 1 f(x) 4 2 3 3 3 4 5
Restrict the domain of f(x) = 2(x - 4)2 + 3 so that f is one-to-one. Then find f-1(x).
For medical reasons, dyes may be injected into the bloodstream to determine the health of internal organs. In one study involving animals, the dye BSP was injected to assess the blood flow in the
Use f(x) and g(x) to find a formula for each expression. Identify its domain. (a) (f + g)(x) (c) (fg)(x) (b) (f- g)(x) (d) (f/g)(x)
Use f(x) and g(x) to find a formula for each expression. Identify its domain. (a) (f + g)(x) (c) (fg)(x) (b) (f- g)(x) (d) (f/g)(x)
The table shows the air pressure y in inches of mercury x miles from the eye of a hurricane.(a) Make a scatterplot of the data. (b) Find a function f that models the data. (c) Estimate the air
The following table con- tains heart disease death rates per 100,000 people for selected ages.(a) Make a scatterplot of the data in the viewing rec- tangle [25, 75, 5] by [-100, 2100, 200]. (b) Find
Expand the expression. If possible, write your answer without exponents. 5kx² log 11
In the past some workers used technology such as e-mail, computers, and multiple phone lines to work at home, rather than in the office. However, because of the need for teamwork and collaboration in
Determine if f is one-to-one. f(x) = 3x - 1
Expand the expression. If possible, write your answer without exponents. log, 4k2x²
Find the domain of f and write it in set- builder or interval notation. f(x) = log, (4x²)
Use the graph of y = f(x) to determine if f is one-to-one. Does f have an inverse? y 3 y = f(x) 3 X
The following table lists the con- centration of a bacteria B (in millions per milliliter) in a sample of water after x days.(a) Find a function B(x) that models the data. (b) Graph B and the
Expand the expression. If possible, write your answer without exponents. x log 3
Find f and g so that h(x) = (g ° f)(x) h(x) = √x² + 3
The following table lists projected revenue R in $ millions for Instagram x years after 2015.(a) Find a function R(x) that models the data. (b) Graph R and the data. (c) Predict the revenue in
Use the graph of y = f(x) to determine if f is one-to-one. Does f have an inverse? 3 I I y = f(x) 3
Find the domain of f and write it in set- builder or interval notation. f(x) = log(x + 3)
Expand the expression. If possible, write your answer without exponents. log 3x6
The following table lists projected global virtual reality head-mounted display shipments H in millions of units x years after 2015.(a) Find a function H(x) that models the data.(b) Graph H and the
Find f and g so that h(x) = (g ° f)(x) h(x) = 1 (2x + 1)²
Use f(x) and g(x) to find a formula for each expression. Identify its domain. (a) (f + g)(x) (c) (fg)(x) (b) (f- g)(x) (d) (f/g)(x)
Use the graph of y = f(x) to determine if f is one-to-one. Does f have an inverse? -3-2 y = f(x) x
Expand the expression. If possible, write your answer without exponents. In 3k
Find the domain of f and write it in set- builder or interval notation. f(x) = ln(2x - 4)
Describe the inverse operations of the given statement. Then express both the statement and its inverse symbolically.Divide x by 10 and add 6.
Use f(x) and g(x) to find a formula for each expression. Identify its domain. (a) (f + g)(x) (c) (fg)(x) (b) (f- g)(x) (d) (f/g)(x)
The following table shows the number of visitors in millions who visited the website SlideShare.(a) Choose a linear, quadratic, or logarithmic function V(x) that best models the data, where x is
Expand the expression. If possible, write your answer without exponents. In kx 5
Find the domain of f and write it in set- builder or interval notation. f(x) = log₂ (x² - 1)
Use the graph of y = f(x) to determine if f is one-to-one. Does f have an inverse? y = f(x) 3
Use the graph of y = f(x) to determine if f is one-to-one. Does f have an inverse? y = f(x) 23
Describe the inverse operations of the given statement. Then express both the statement and its inverse symbolically.Subtract 5 from x and take the cube root.
Use f(x) and g(x) to find a formula for each expression. Identify its domain. (a) (f + g)(x) (c) (fg)(x) (b) (f- g)(x) (d) (f/g)(x)
Find the domain of f and write it in set- builder or interval notation. f(x) = logs (4*)
Determine if f is one-to-one. You may want to graph y = f(x) and apply the horizontal line test. x = (x)/
Combine the expressions by writing them as a logarithm of a single expression. 1 log, 5 log, 10 log -
Use the fact that ax = ay implies x = y, to solve each equation. 1+2x = م
Determine the final value of $500 invested at 6.5% compounded continuously for 8 years.
Find a linear function f and an exponential function g whose graphs pass through the two given points. (0,4), (1,8)
Combine the expressions by writing them as a logarithm of a single expression. log 20 + log To 10
Use the fact that ax = ay implies x = y, to solve each equation. 23x = 8-x+2
Solve ex = 19 symbolically.
Use the fact that ax = ay implies x = y, to solve each equation. gx 92x = 271 -
Combine the expressions by writing them as a logarithm of a single expression. log645 + logb³
Find C and a so that f(x) = Cax models the situation described. State what the variable x represents in your formula.Fifteen hundred dollars is deposited in account that triples in value every decade.
Decide if the situation could be modeled by a one-to-one function.The U.S. population from 1980 to 2010
Find f-1(x). f(x) = x + 5
Find C and a so that f(x) = Cax models the situation described. State what the variable x represents in your formula.Home Value In 2015 a house was worth $200,000, and its value decreases by 5% each
Solve 2x- x2 = x graphically. Round each solution to the nearest thousandth.
Decide if the situation could be modeled by a one-to-one function.The height y of a stone thrown upward after x seconds
Combine the expressions by writing them as a logarithm of a single expression. In x6 = lnx³
Use the fact that ax = ay implies x = y, to solve each equation. 16 = 4²-x
Evaluate the expression without a calculator. log 1000
Find f-1(x). f(x) = -2x + 10
Find f-1(x). f(x) = x³ + 2
Use the fact that ax = ay implies x = y, to solve each equation. 25²x = 1252-x
Combine the expressions by writing them as a logarithm of a single expression. log 10x³ - log 5x
Combine the expressions by writing them as a logarithm of a single expression. log √x + log.x² - log.x
Evaluate the expression without a calculator. log 0.001
Use the fact that ax = ay implies x = y, to solve each equation. 32³x = 165x+3
Find f-1(x). f(x)=x-8
Find C and a so that f(x) = Cax models the situation described. State what the variable x represents in your formula.A fish population is initially 6000 and decreases by half each year.
Evaluate the expression without a calculator. 10 log 0.01 + log 10
Find f-1(x). f(x) = 6x
Find f-1(x). f(x) = -10x
Combine the expressions by writing them as a logarithm of a single expression. log √x + log.x4 - log.x²
Use the fact that ax = ay implies x = y, to solve each equation. 16-5= 64¹-2x
The pressure in a tire with a leak is 30 pounds per square inch initially and can be modeled by f(x) = 30(0.9)x after x minutes. What is the tire's pressure after 9.5 minutes?
Evaluate the expression without a calculator. log 100+ log V10
Evaluate the logarithm without a calculator. log39
Approximate f(x) to four decimal places. f(x) = 4e-1.2x x = -2.4
Combine the expressions by writing them as a logarithm of a single expression. 3lnx-lny + 4lnz
Approximate f(x) to four decimal places. f(x) = -2.1e-0.71x x = 1.9
The population of California was about 37 million in 2010 and increasing by 1.0% each year. Estimate the population of California in 2020.
Find f-1(x). f(x) = -7x + 2
Combine the expressions by writing them as a logarithm of a single expression. Iny - 4lnx - Inz
Approximate f(x) to four decimal places. f(x) = ²½ (0² - e-³), 2 x = -0.7
Combine the expressions by writing them as a logarithm of a single expression. 글+ + In 2
Evaluate the logarithm without a calculator. logs 25
Find f-1(x). f(x)=9x-8
Combine the expressions by writing them as a logarithm of a single expression. In 4e³ - In 2e²
Evaluate the logarithm without a calculator. In e
Find f-1(x). f(x) = √x
Approximate f(x) to four decimal places. f(x) = 4(e-0.3x = -0.6x), - x = 1.6
Sketch a graph of y = f(x). f(x) = 2x
Evaluate the logarithm without a calculator. log₂32
Approximate to the nearest thousandth. log, 18
Find f-1(x). f(x) = 2x
Determine mentally an integer n so that the logarithm is between n and n + 1. (a) log₂9 (c) log, 35 (b) loga 11 (d) log, 130
Combine the expressions by writing them as a logarithm of a single expression. 2ln.x - 4lny + Inz
Approximate to the nearest thousandth. log, 173
Find f-1(x). f(x) = -2x + 10
Sketch a graph of y = f(x). xỉ = (x)f

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