Pre-Calc
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Chapter 2: Polynomial, Power, and Rational Functions
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2.8 Solving Inequalities in One Variable
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2.8.2 Other Inequalities
Chapter 2: Polynomial, Power, and Rational Functions
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Describe the end behavior of the polynomial function by finding f and f = ...
Divide using synthetic division, and write a summary statement in fraction ...
Evaluate the limit based on the graph of f shown.f
Find the remainder when f(x) is divided by (x - k) (Numeric ...
Find the requested function.Find the polynomial function with leading ...
Find the zeros of the polynomial function and state the multiplicity of each....
For the given function, find all asymptotes of the type indicated (if there ...
Match the polynomial function graph to the appropriate zeros and multiplicities.
Provide an appropriate response.Let f be a polynomial function with real ...
Solve the equation. - =
Solve the problem. (Numeric Answer)The Cool Company determines that the ...
Solve the problem.An open-top rectangular box has a square base and it will ...
State how many total and real zeros the function has.f = x3 + 2x2 - 11x - 12
Use limits to describe the behavior of the rational function near the ...
2.1 Linear/Quadratic Functions and Modeling
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2.1.1 Linear Functions
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Describe the strength and direction of the linear correlation.
Describe the strength and direction of the linear correlation.
Describe the strength and direction of the linear correlation.
If the following is a polynomial function, then state its degree and leading ...
If the following is a polynomial function, then state its degree and leading ...
If the following is a polynomial function, then state its degree and leading ...
If the following is a polynomial function, then state its degree and leading ...
Solve the problem. Bill Monotone sells used CDs for $9.75 each. Each used ...
Solve the problem. Dan's long-distance phone carrier charges him $7.95 a ...
Use regression to solve the problem. Round numbers to the nearest hundredth.T...
Write an equation for the linear function f satisfying the given conditions....
Write an equation for the linear function f satisfying the given conditions.f...
Write an equation for the linear function f satisfying the given conditions.f...
2.1.2 Quadratic Functions
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Complete the square
Find degree of polynomial
Find the axis of symmetry of the graph of the function.f(x) = 3x2 + 30x + 78
Find the axis of the graph of the function.f(x) = (x + 3)2 + 4
Find the axis of the graph of the function.f(x) = 2x2 + 20x + 51
Find the axis of the graph of the function.f(x) = 3x2 + 6x + 8
Find the vertex of the graph of the function.f(x) = -4x2 - 16x - 22
Find the vertex of the graph of the function.f(x) = (x - 2)2 + 3
Find the vertex of the graph of the function.f(x) = (x + 5)2 + 1
Find the vertex of the graph of the function.f(x) = 2(x - )2 + 2
Find the vertex of the graph of the function.f(x) = 3(x - 1)2 + 6
Find the vertex of the graph of the function.f(x) = 3x2 + 18x + 29
Maximum height of projectile
Solve the problem. A projectile is thrown upward so that its distance ...
Solve the problem. The number of mosquitoes M(x), in millions, in a ...
Solve the problem. The perimeter of a rectangle is 82 m. If the width were...
Solve the problem. The stadium vending company finds that sales of hot ...
Solve the problem.The profit made when t units are sold, t > 0, is given by
Write an equation for the quadratic function whose graph contains the given ...
Write an equation for the quadratic function whose graph contains the given ...
Write an equation for the quadratic function whose graph contains the given ...
Write the quadratic function in vertex form.y = x2 - 10x + 18
Write the quadratic function in vertex form.y = x2 + 4x
2.2 Power Functions and Modeling
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2.2.1 Power Function Basics
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Degree and Leading Coefficient
Determine if the function is a monomial function (given that c and k ...
Determine whether the power function is even, odd, or neither.f = 6x1/3
Solve the problem.The table shows the population of a certain city in various...
Write the statement as a power function equation. Use k as the constant of ...
Write the statement as a power function equation. Use k as the constant of ...
2.2.2 Power Function Applications
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Boyle's Gas Law
Data are given for y as a power function of x. Write an equation for the ...
Force between masses
Weight of liquid
2.3 Polynomial Functions with Modeling
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2.3.1 Describe End Behavior
3
Describe the end behavior of the polynomial function by finding f and f = (x...
Describe the end behavior of the polynomial function by finding f and f = -x3...
Describe the end behavior of the polynomial function by finding f and f = x3 ...
2.3.2 Find Zeros
6
Find cubic function from zeros
Find real zeros by factoring
Find the zeros of the polynomial function and state the multiplicity of each....
Match the given graph with its polynomial function.
Use a graphing calculator to approximate the real zeros of the function ...
Use a graphing calculator to approximate the real zeros of the function ...
2.3.3 Solve Applications
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Solve the problem.A piece of rectangular sheet metal is 25 inches wide. It is...
Solve the problem.A rectangular piece of cardboard measuring 15 inches by 42 ...
Solve the problem.A rectangular piece of cardboard measuring 30 inches by 43 ...
Solve the problem.The polynomial function I(t) = -.1t2 + 1.5t represents the ...
Solve the problem.The polynomial function L(p) = p3 - 5p2 + 20 gives the rate...
Use a cubic or quartic regression (as specified) to fit a curve through the ...
2.4 Real Zeros of Polynomials
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2.4.1 Long Division/Synthetic Division
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Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
Divide using synthetic division, and write a summary statement in fraction form.
Divide using synthetic division, and write a summary statement in fraction form.
Divide using synthetic division, and write a summary statement in fraction form.
Find the remainder when f(x) is divided by (x - k)f(x) = 2x3 + 3x2 + 4x + 18;...
Find the remainder when f(x) is divided by (x - k)f(x) = 3x4 - 2x3 + 2x2 + 2x...
Find the remainder when f(x) is divided by (x - k)f(x) = x2 - 8x + 9; k = -8
Use the Factor Theorem to determine whether the first polynomial is a factor ...
Use the Factor Theorem to determine whether the first polynomial is a factor ...
Use the Factor Theorem to determine whether the first polynomial is a factor ...
2.4.2 Finding Rational Zeros
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Find all of the real zeros of the function. Give exact values whenever ...
Find all of the real zeros of the function. Give exact values whenever ...
Find all of the real zeros of the function. Give exact values whenever ...
Find all rational zeros.f = x4 - 7x3 + 3x2 + 21x - 18
Find all rational zeros.f = x4 + 3x3 + 3x2 - 6x - 27
Find all rational zeros.f(x) = 4x3 - 12x2 - x + 3
Find all rational zeros.f(x) = x3 + 2x2 - 16x - 32
Find the requested function.Find the polynomial function with leading ...
Find the requested function.Find the polynomial function with leading ...
Find the requested function.Find the polynomial function with leading ...
Solve the problem. Ariel, a marine biologist, models a population P of ...
Solve the problem. Photon Lighting Company determines that the supply and ...
Solve the problem. The Cool Company determines that the supply function ...
Use the Factor Theorem to determine whether the first polynomial is a factor ...
Use the graph to guess possible linear factors of f(x). Then completely ...
Use the Rational Zeros Theorem to write a list of all potential rational ...
Use the Rational Zeros Theorem to write a list of all potential rational ...
Use the Rational Zeros Theorem to write a list of all potential rational ...
2.5 Complex Zeros of Polynomials
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2.5.1 Fundamental Theorem of Algebra
3
Match the polynomial function graph to the appropriate zeros and multiplicities.
State how many complex and real zeros the function has.f = x4 - 63x2 - 64
State how many complex and real zeros the function has.f = x5 - 9x4 + 2x3 - ...
2.5.2 Finding Complex Zeros
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Using the given zero, find all other zeros of f(x).-2i is a zero of f(x) = x4...
Write a linear factorization of the function.f(x) = 4x3 + 4x
Write a linear factorization of the function.f(x) = x3 + 8x2 + 16x + 128
Write a polynomial function of minimum degree with real coefficients whose ...
Write the function as a product of linear and irreducible quadratic factors, ...
Write the polynomial in standard form and identify the zeros of the function....
2.6 Graphs of Rational Functions
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2.6.1 Asymptotes
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For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there ...
2.6.2 Analyze
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Describe how the graph of the given function can be obtained by transforming ...
Evaluate the limit based on the graph of f shown.f
State the domain of the rational function.f(x) =
State the domain of the rational function.f(x) =
State the domain of the rational function.f(x) =
Use limits to describe the behavior of the rational function near the ...
2.7 Solving Equations in One Variable
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2.7.1 Basic Solving
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Solve the equation. - = 3
Solve the equation. + =
Solve the polynomial inequality.(x + 2)(x - 1)(x - 10) < 0
2.7.2 Applications
4
Solve the problem.A plane suddenly experiences turbulence while in flight. At...
Solve the problem.An open-top rectangular box has a square base and it will ...
Solve the problem.An open-top rectangular box has a square base and it will ...
Solve the problem.In the following formula, y is the minimum number of hours ...
2.8 Solving Inequalities in One Variable
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2.8.1 Polynomial Inequalities
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Solve the polynomial inequality.(x + 10)(x + 1)(x - 3) < 0
2.8.2 Other Inequalities
1
Solve the inequality.x > 0
2.8.3 Applications
6
Solve the problem.A flare fired from the bottom of a gorge is visible only ...
Solve the problem.A retailer knows that n games can be sold in a month if the...
Solve the problem.If a rocket is propelled upward from ground level, its ...
Solve the problem.The cost of producing t units is C = 3t2 + 8t, and the ...
Solve the problem.The profit made when t units are sold, t > 0, is given by ...
Solve the problem.The profit made when t units are sold, t > 0, is given by ...