Math 130 Learning Objectives
... Evaluate real number expressions with +, - , *, /, exponents, radicals, and absolute value without a calculator (show your work). Use scientific notation. Use laws and properties of exponents to simplify expressions. Simplify radical and rational expressions. Rationalize the numerator or denominator ...
... Evaluate real number expressions with +, - , *, /, exponents, radicals, and absolute value without a calculator (show your work). Use scientific notation. Use laws and properties of exponents to simplify expressions. Simplify radical and rational expressions. Rationalize the numerator or denominator ...
Year - New Paltz Central School District
... 21) Each graph below represents a possible relationship between temperature and pressure. Which graph does not represent a function? ...
... 21) Each graph below represents a possible relationship between temperature and pressure. Which graph does not represent a function? ...
Content Notes
... continuous graph or a discrete graph. A continuous graph has connected lines or curves. All of the points that lie on the lines or curves are possible solutions to the situation. A discrete graph contains only distinct points as solutions. For example, if you are looking at a graph of the number of ...
... continuous graph or a discrete graph. A continuous graph has connected lines or curves. All of the points that lie on the lines or curves are possible solutions to the situation. A discrete graph contains only distinct points as solutions. For example, if you are looking at a graph of the number of ...
MPM2D Big Ideas
... o Collect data (investigation or secondary sources) that can be represented as a quadratic relation, graph it and draw a curve of best fit o Recognize y = ax2 + bx + c is a parabola and table of values yields a constant second difference o Key features of a parabola Axis of symmetry Coordinates ...
... o Collect data (investigation or secondary sources) that can be represented as a quadratic relation, graph it and draw a curve of best fit o Recognize y = ax2 + bx + c is a parabola and table of values yields a constant second difference o Key features of a parabola Axis of symmetry Coordinates ...
Algebra SoL Review: Equations
... Use one of your points as ( x1 , y1 ) and m value given to substitute into y y1 m( x x1 ) . Solve for y. Write an equation for the line that passes through the points (-3, 6) and (5, 6). ...
... Use one of your points as ( x1 , y1 ) and m value given to substitute into y y1 m( x x1 ) . Solve for y. Write an equation for the line that passes through the points (-3, 6) and (5, 6). ...
Rational Functions
... When graphing a rational polynomial, first mark the vertical asymptotes and the x-intercepts. Then choose a number c 2 R between any consecutive pairs of these marked points on the x-axis and see if the rational function is positive or negative when x = c. If it’s positive, draw a dot above the x-ax ...
... When graphing a rational polynomial, first mark the vertical asymptotes and the x-intercepts. Then choose a number c 2 R between any consecutive pairs of these marked points on the x-axis and see if the rational function is positive or negative when x = c. If it’s positive, draw a dot above the x-ax ...
Exam 3 Solutions Math 135: Intermediate Algebra 1. Solve: 2x2 − 4x
... The pasture has 4 sides of length x, so it’s perimeter is 4x meters, which costs $10 per meter, a total of 40x, for upkeep. There is also the $5000 fixed cost. Thus, the total net income is 0.1x2 − 40x − 5000. (b) Picking a few points: ...
... The pasture has 4 sides of length x, so it’s perimeter is 4x meters, which costs $10 per meter, a total of 40x, for upkeep. There is also the $5000 fixed cost. Thus, the total net income is 0.1x2 − 40x − 5000. (b) Picking a few points: ...
Algebra II Bloom`s Taxonomy Unit 1: Equations and Inequalities
... Get y by itself, plot b first; then from b, plot m (rise/run) 2. Compare the slopes of parallel lines and the slopes of perpendicular lines.(K, C) Get y by itself, compare the slopes of the two lines. Parallel lines will have the same slope, perpendicular lines will have slopes that are the negative ...
... Get y by itself, plot b first; then from b, plot m (rise/run) 2. Compare the slopes of parallel lines and the slopes of perpendicular lines.(K, C) Get y by itself, compare the slopes of the two lines. Parallel lines will have the same slope, perpendicular lines will have slopes that are the negative ...
hca04_0302
... Further Applications of Quadratic Functions and Models Higher Degree Polynomial Functions and Graphs Topics in the Theory of Polynomial Functions (I) Topics in the Theory of Polynomial Functions (II) Polynomial Equations and Inequalities; Further Applications and Models ...
... Further Applications of Quadratic Functions and Models Higher Degree Polynomial Functions and Graphs Topics in the Theory of Polynomial Functions (I) Topics in the Theory of Polynomial Functions (II) Polynomial Equations and Inequalities; Further Applications and Models ...
4.3. Logarithmic function. Another type of nonalgebraic function is
... function of the form f(x) = ax or y = ax passes the "horizontal line test" and must therefore have an inverse. It just so happens that this inverse is called the logarithmic function with base a. Definition of Logarithm: For all positive numbers a, where a ≠ 1, and all positive numbers x, y = logax ...
... function of the form f(x) = ax or y = ax passes the "horizontal line test" and must therefore have an inverse. It just so happens that this inverse is called the logarithmic function with base a. Definition of Logarithm: For all positive numbers a, where a ≠ 1, and all positive numbers x, y = logax ...
Graphing with the Slope-Intercept Form SOLUTION
... amount and the slope often represents a rate of change. You are buying an $1100 computer on layaway. You make a $250 deposit and then make weekly payments according to the equation a = 850 – 50 t where a is the amount you owe and t is the number of weeks. What is the original amount you owe on layaw ...
... amount and the slope often represents a rate of change. You are buying an $1100 computer on layaway. You make a $250 deposit and then make weekly payments according to the equation a = 850 – 50 t where a is the amount you owe and t is the number of weeks. What is the original amount you owe on layaw ...
FURTHER TRIGONOMETRY A. Basic sine, cosine and tangent
... You may have drawn the sine, cosine and tangent graphs as part of the introduction to trigonometry in Maths 2 Intermediate 2. If you have retained the graphs, you may miss out questions 1 to 3 of Exercise 1 below. 1. The Sine Graph (a) Make a copy of this table and use your calculator to help fill i ...
... You may have drawn the sine, cosine and tangent graphs as part of the introduction to trigonometry in Maths 2 Intermediate 2. If you have retained the graphs, you may miss out questions 1 to 3 of Exercise 1 below. 1. The Sine Graph (a) Make a copy of this table and use your calculator to help fill i ...
Median graph
In graph theory, a division of mathematics, a median graph is an undirected graph in which every three vertices a, b, and c have a unique median: a vertex m(a,b,c) that belongs to shortest paths between each pair of a, b, and c.The concept of median graphs has long been studied, for instance by Birkhoff & Kiss (1947) or (more explicitly) by Avann (1961), but the first paper to call them ""median graphs"" appears to be Nebeský (1971). As Chung, Graham, and Saks write, ""median graphs arise naturally in the study of ordered sets and discrete distributive lattices, and have an extensive literature"". In phylogenetics, the Buneman graph representing all maximum parsimony evolutionary trees is a median graph. Median graphs also arise in social choice theory: if a set of alternatives has the structure of a median graph, it is possible to derive in an unambiguous way a majority preference among them.Additional surveys of median graphs are given by Klavžar & Mulder (1999), Bandelt & Chepoi (2008), and Knuth (2008).