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- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/00%3A_Front_Matter/01%3A_TitlePageMath 10: College Algebra Leif Jordan College of the Desert
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/02%3A_Equations_and_Inequalities/2.01%3A_The_Rectangular_Coordinate_Systems_and_GraphsDescartes introduced the components that comprise the Cartesian coordinate system, a grid system having perpendicular axes. Descartes named the horizontal axis the x-axis and the vertical axis the...Descartes introduced the components that comprise the Cartesian coordinate system, a grid system having perpendicular axes. Descartes named the horizontal axis the x-axis and the vertical axis the y-axis. This system, also called the rectangular coordinate system, is based on a two-dimensional plane consisting of the x-axis and the y-axis. Perpendicular to each other, the axes divide the plane into four sections. Each section is called a quadrant.
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/06%3A_Exponential_and_Logarithmic_Functions/6.01%3A_Exponential_FunctionsWhen populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specif...When populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specific meaning. In this section, we will take a look at exponential functions, which model this kind of rapid growth.
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/03%3A_Functions/3.04%3A_Composition_of_FunctionsSuppose we want to calculate how much it costs to heat a house on a particular day of the year. The cost to heat a house will depend on the average daily temperature, and in turn, the average daily te...Suppose we want to calculate how much it costs to heat a house on a particular day of the year. The cost to heat a house will depend on the average daily temperature, and in turn, the average daily temperature depends on the particular day of the year. The cost depends on the temperature, and the temperature depends on the day. By combining these two relationships into one function, we have performed function composition, which is the focus of this section.
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/zz%3A_Back_Matter/20%3A_GlossaryExample and Directions Words (or words that have the same definition) The definition is case sensitive (Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pag...Example and Directions Words (or words that have the same definition) The definition is case sensitive (Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pages] (Optional) Caption for Image (Optional) External or Internal Link (Optional) Source for Definition "Genetic, Hereditary, DNA ...") (Eg. "Relating to genes or heredity") The infamous double helix CC-BY-SA; Delmar Larsen Glossary Entries Definition Image Sample Word 1 Sample Definition 1
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/zz%3A_Back_Matter/21%3A_Detailed_Licensing
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/03%3A_FunctionsIn this chapter, we will explore a specific type of relation between two sets called a function. A function is a relation in which each element of the domain is associated with exactly one element of ...In this chapter, we will explore a specific type of relation between two sets called a function. A function is a relation in which each element of the domain is associated with exactly one element of the range.
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/03%3A_Functions/3.06%3A_Inverse_FunctionsIf some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse na...If some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse nature of functions.
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/02%3A_Equations_and_Inequalities/2.02%3A_Linear_EquationsA linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form ax+b=0ax+b=0 and are solved usin...A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form ax+b=0ax+b=0 and are solved using basic algebraic operations.
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/03%3A_Functions/3.01%3A_Functions_and_Function_NotationA jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a ...A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.
- https://math.libretexts.org/Courses/College_of_the_Desert/Math_10%3A_College_Algebra/05%3A_Polynomial_and_Rational_Functions/5.04%3A_Dividing_PolynomialsWe are familiar with the long division algorithm for ordinary arithmetic. We begin by dividing into the digits of the dividend that have the greatest place value. We divide, multiply, subtract, includ...We are familiar with the long division algorithm for ordinary arithmetic. We begin by dividing into the digits of the dividend that have the greatest place value. We divide, multiply, subtract, include the digit in the next place value position,. Division of polynomials that contain more than one term has similarities to long division of whole numbers. We can write a polynomial dividend as the product of the divisor and the quotient added to the remainder.
