chapter 7 conic sections and parametric … 7 “conic sections and parametric equations ... section...
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CHAPTER 7 “CONIC SECTIONS AND PARAMETRIC EQUATIONS”
Section 7.1 “Parabolas”
Graph and write equations of parabolas (vertex, focus and directrix)
Section 7.2 “Ellipses and Circles”
Graph and write equations of ellipses (center, vertices, co-vertices and foci)
Graph and write equations of circles (center and 4 key points)
Midpoint Formula
Distance Formula
Section 7.3 “Hyperbolas”
Graph and write equations of hyperbolas (center, vertices, foci and asymptotes)
CHAPTER 1 “FUNCTIONS FROM A CALCULUS PERSPECTIVE”
Section 1.1 “Functions”
Set Builder and Interval Notations
Relations, Domain, Range, Functions, Vertical Line Test
Function Notation, Evaluating Functions including Piecewise, Difference Quotient
Find domain of functions and express using interval notation
Section 1.2 “Analyzing Graphs of Functions and Relations”
Domain and Range
y-intercept and zeros
Symmetry Tests (x-axis, y-axis and origin)
Type of Function (even, odd or neither)
Section 1.3 “Continuity, End Behavior, and Limits”
Continuous vs. Discontinuous
End Behavior
Section 1.4 “Extrema and Average Rates of Change”
Describe intervals in which a function is increasing, decreasing and/or constant
Extrema (Absolute Minimum/Maximum and Relative Minimum/Maximum)
Solving word problems involving Quadratic Functions
Average Rate of Change
Section 1.5 “Parent Functions and Transformations”
Identify, graph and describe parent functions
Greatest Integer Function
Horizontal and Vertical Translations
Reflections over x- and y- axes
Horizontal and Vertical Dilations
Absolute value of x or f(x)
Piecewise Functions