Whitehall District Schools ► Pre-Calculus ► Pre-Calc ► Chapter 2: Polynomial, Power, and Rational Functions

• Chapter 2: Polynomial, Power, and Rational Functions 143 
  • 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 36   
    • 2.1.1 Linear Functions 13   
      • 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 23   
      • 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 10   
    • 2.2.1 Power Function Basics 6   
      • 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 4   
      • 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 15   
    • 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 6   
      • 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 32   
    • 2.4.1 Long Division/Synthetic Division 14   
      • 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 18   
      • 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 9   
    • 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 6   
      • 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 12   
    • 2.6.1 Asymptotes 6   
      • 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 6   
      • 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 7   
    • 2.7.1 Basic Solving 3   
      • 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 8   
    • 2.8.1 Polynomial Inequalities 1   
      • 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  ...