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mathematics
college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

Combine the expressions by writing them as a logarithm of a single expression. logs(x + 1) +logs (x - 1)
Sketch a graph of y = f(x). f(x) = 3-x
Sketch a graph of y = f(x). f(x) = 3(2-x)
Combine the expressions by writing them as a logarithm of a single expression. log4 - logx + 7log Vx
Combine the expressions by writing them as a logarithm of a single expression. In 3e In- 4e
Find f-1(x). f(x) = x-1 2
Sketch a graph of y = f(x). f(x) = 3*
Combine the expressions by writing them as a logarithm of a single expression. 2log(x² − 1) + 4log(x - 2) - logy -
For the given g(x), evaluate each of the following. (a) g(-3) (b) g(b) (c) g(x3) (d) g(2x - 3) g(x) = 4x x+3
Find f-1(x). £³7 − 1 = (x)ƒ
Find f-1(x). f(x) = 2x³-5
Sketch a graph of y = f(x). f(x) = 1.5*
Combine the expressions by writing them as a logarithm of a single expression. log3x + log3√x + 3 − log(x-4) -
Find f-1(x). 0 = x ¹1 x = (x)/ 'I
Sketch a graph of y = f(x). f(x) = ½ (3¹) 3
Sketch a graph of y = f(x). f(x) = 1/2 (2³)
Sketch a graph of f. f(x) = log₂x
Sketch a graph of f. f(x) = log₂.x²
For the given g(x), evaluate each of the following. (a) g(-3) (b) g(b) (c) g(x3) (d) g(2x - 3) g(x) = x + 3 2
Find f-1(x). f(x) = -| 1 2x
Find f-1(x). f(x) = (x + 2)², x = -2
Sketch a graph of y = f(x). f(x) = 4(2-¹)
Sketch a graph of f. f(x) = log3|x|
Find f-1(x). f(x) = all 2 Vx
Sketch a graph of f. f(x) = log42x
Sketch a graph of y = f(x). f(x) = 9(3-³)
Use the given f(x) and g(x) to evaluate each expression. f(x) = √x + 5, g(x) = x² (a) (fᵒg)(2) (b) (gof)(-1)
Find f-1(x). f(x) = 6 - 3(2x-4)
Sketch a graph of y = f(x). f(x) = 2(1)*
If possible, simplify f(x). Find the domain of f. f(x) = logg V23x
Use the given f(x) and g(x) to evaluate each expression. f(x)=x²-41, g(x) = 2x² + x + 1 (a) (fog)(1) (b) (gof)(-3)
Sketch a graph of y = f(x). f(x) = 5(!)*
If possible, simplify f(x). Find the domain of f. f(x) = log V104x
Use the given f(x) and g(x) to evaluate each expression. f(x) = 5x - 2₁ g(x) = |x| 2, (a) (fog)(-4) (b) (gof)(5)
Sketch a graph of y = f(x). f(x) = 2(1)*
If possible, simplify f(x). Find the domain of f. f(x) = ln(1-2¹)
Use the given f(x) and g(x) to evaluate each expression. {(x) = x - 4² (a) (fog)(3) g(x) = 5 (b) (gof)(8)
Find f-1(x). f(x) = 3x x-1
If possible, simplify f(x). Find the domain of f. f(x) = ln(1-x)
Sketch a graph of y = f(x). f(x) = 2(3¹)
Find f-1(x). f(x) = 3x x-1
The table shows the density y of a species of insect measured in thousands per acre after x days.(a) Find a function f that models the data. (b) Use f to estimate the density after a long time. x
Expand the expression. If possible, write your answer without exponents. X ²√3 V In
Use the graph of y = f(x) to determine if f is one-to-one. Does f have an inverse? y = f(x) 3
Find the domain of f and write it in set- builder or interval notation. f(x) = log(4- V2-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)
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 lists the atmospheric density y in kilograms per cubic meter (kg/m3) at an altitude of x meters.(a) Find a function f that models the data.(b) Predict the density at 7000 meters. (The
Find the domain of f and write it in set- builder or interval notation f(x) = logs (5 - 25)
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? 2 + y = f(x) VAA xx
As age increases, so does the likelihood of coronary heart disease (CHD). The percentage P of people x years old with signs of CHD is shown in the table.(a) Evaluate P(25) and interpret the
Expand the expression. If possible, write your answer without exponents. logs 25x³
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 3 y = f(x) 3
Find the domain of f and write it in set- builder or interval notation. f(x) = ln (√3x - 1)
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)
Expand the expression. If possible, write your answer without exponents. log₂ 32
The following table shows the number of cell phone subscriptions in India in billions for selected years.(a) Find a function C(x) that models the data, where x is years after 2005. (b) Predict the
Expand the expression. If possible, write your answer without exponents. In- A
The height H of a tree in feet after x years is listed in the table.(a) Evaluate H(5) and interpret the answer. (b) Find a function that models the data. (c) Graph H and the data. (d) What is the
The numbers N of radio stations on the air for selected years x are listed in the table.(a) Find a function that models the data. (b) Graph N and the data. (c) Predict when the number of radio
Expand the expression. If possible, write your answer without exponents. log, (0.25(x + 2)³)
Heavier birds tend to have larger wings than smaller birds. For one species of bird, the table lists the area A of the bird's wing in square inches if the bird weighs w pounds.(a) Find a function
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)
Expand the expression. If possible, write your answer without exponents. (-(9- D)100'0) So
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 is a complete representation of f. Use the table to determine if f is one-to-one and has an inverse. 0 2 0 x-2 f(x) 4 2 4 -2
The table is a complete representation of f. Use the table to determine if f is one-to-one and has an inverse. X 0 2 4 0 4 f(x) -1 6 1 8
Heavier birds tend to have a longer wing span than smaller birds. For one species of bird, the table lists the length L of the bird's wing span in feet if the bird weighs w pounds.(a) Find a function
The table is a complete representation of f. Use the table to determine if f is one-to-one and has an inverse. x-2 -1 0 f(x)| 4 1 0 品 1 2 l 4
Expand the expression. If possible, write your answer without exponents. logs (x-4)4
Which function becomes larger for 0 ≤ x ≤ 10: f(x) = 2x or g(x) = x2?
Expand the expression. If possible, write your answer without exponents. (3x - 2)² x² +1 logs
Expand the expression. If possible, write your answer without exponents. log₂ L VX
Which function becomes smaller for 4 ≤ x ≤ 12: f(x) = = or g(x) = 台
If you were offered l₵ for the first week of work, 3₵ for the second week, 5₵ for the third week, 7₵ for the fourth week, and so on for a year, would you accept the offer? Would you accept an
Which function becomes larger for 0 ≤ x ≤ 10: f(x) = 4 + 3x or g(x) = 4(3)x?
Determine if f is one-to-one. You may want to graph y = f(x) and apply the horizontal line test. f(x) = 2x - 7
Determine if f is one-to-one. You may want to graph y = f(x) and apply the horizontal line test. 1-₂x = (x)f
Which function becomes larger for 0 ≤ x ≤ 10: f(x) = 2x + 1 or g(x) = 2-x?
Determine if f is one-to-one. You may want to graph y = f(x) and apply the horizontal line test. f(x) = -2x² + x
Near New Guinea there is a rela- tionship between the number of bird species found on an island and the size of the island. The table lists the number of species of birds y found on an island with an
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)
Expand the expression. If possible, write your answer without exponents. log. Ax
State the end behavior of f. f(x) = -2x³ + 4x - 2
Find the average rate of change of f(x) = x3 - x from x = -3 to x = -2.
Complete the following. (a) State the degree and leading coefficient of f. (b) State the end behavior of the graph of f. f(x) = -4 + 5x
The polynomial given by f(x) = 1/2x3 - 3x2 + 11/2x - 3 has zeros 1, 2, and 3. Write its complete factored form.
Determine the type of symmetry that the graph of g(x) = x5 - 4x3 exhibits.
Simplify the expression without a calculator. 41/641/3
Solve the polynomial inequality. (a) Symbolically and (b) Graphically. Use interval notation to write the solution set. x³-x>0
Write the expression as one ratio without any negative exponents. +1)x-1/3-2/3 (x + 1)²
Solve the polynomial inequality. (a) Symbolically and (b) Graphically. Use interval notation to write the solution set. XT ==x + cx
Use least-squares regression to find a polynomial that models the data in Exercise 4.Data from Exercise 4:Plot the data in the table. -3.2 y -11 ५ -2 15 0 -10 2 15 3.2 -11
Determine if f is even. odd, or neither. f(x) = 2x6 2x6 - 5x²-x²
The boundedness theorem shows how the bottom row of a synthetic division is used to place upper and lower bounds on possible real zeros of a polynomial function. Let P(x) define a polynomial function
Solve the polynomial inequality. (a) Symbolically and (b) Graphically. Use interval notation to write the solution set. 8x³ < 27
Solve the equation √5x4 = x - 2.

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