Report

Unit 1 Review 1. Relations and Intervals • • • • Set-Builder Notation: {x | x>2} Interval Notation: (2, ∞) Relation: a set of ordered pairs Domain and Range: input and output Determine domains and ranges from graphs. • Function: one to one relation Independent variable, dependent variable, vertical line test Exercise • Which of the following representations may describe a function? A. A set of ordered pairs B. An equation C. A graph D. All of these 1. Linear Functions • General form: f(x) = ax + b • Zero of a function: f(x) = 0, x is the zero of the function • X-intercept: zero of a function • Y-intercept: value of y when x = 0 • Constant function: y = a • Domain, Range of a linear function 1. Linear Function • • • • • • Slope: (y2-y1)/(x2-x1), rate of change Geometric orientation based on slope Slope of a vertical line: undefined Slope-Intercept form: f(x) = mx+b Point-slope form: y-y1 = m(x – x1) Standard form: Ax + By = C, A ≠ 0 2. Linear Function • Two parallel lines: equal slopes • Perpendicular lines: m1×m2 = -1 • Linear Regression exercise • Skills test 1: #4 • Skills test 1: #8 • Skills test 1: # 10 3. Linear Equation and Inequalities • Addition and Multiplication Properties of Equality • Graphical approaches to solving linear equations: Intersection • X-intercept method: f(x) = g(x) , find the zero of F(x) = f(x)-g(x) 3. Linear Equation and Inequalities • Addition and multiplication properties of inequality • Graph approach: f(x) > g(x) • X-intercept method of solution of a linear inequality: F(x) >0, x such that F is above the x-axis • Three party Inequalities exercise • Exam review: # 6 • Exam review: # 8 4. Basic Function and Symmetry • Basic Functions and their domain & range ,get to know their corresponding graphs • Symmetry with respect to the y –axis: f(x) = f(-x), even function • Symmetry with respect to the x-axis: not a function, if (a,b) is on the graph, then (a, b) is also on the graph • Symmetry with respect to the origin: f(x) = -f(-x), odd function exercise • • • • Skills test 1: # 29 Skills test 1: #30 Exam review: #13 Exam review: # 14 5. Transformations • Vertical and horizontal shift • Vertical and horizontal stretching and shrinking • Reflection • Basic rules: f(x) = cf(bx + a) + d order: b, a, c, d exercise • Exam review: #16 • Exam review: # 17