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PRECALCULUS I

PRECALCULUS I

PRECALCULUS I. Graphs and Lines Intercepts, symmetry, circles Slope, equations, parallel, perpendicular. Dr. Claude S. Moore Danville Community College. Graph of an Equation. Equation - equality of two quantities.

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521 views • 41 slides
PRECALCULUS I

PRECALCULUS I

PRECALCULUS I. Composite and Inverse Functions Translation, combination, composite Inverse, vertical/horizontal line test. Dr. Claude S. Moore Danville Community College. Vertical Shifts (rigid transformation). For a positive real number c , vertical shifts of y = f(x) are:

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310 views • 13 slides
PRECALCULUS I

PRECALCULUS I

PRECALCULUS I. Functions and Graphs Function, domain, independent variable Graph, increasing/decreasing, even/odd. Dr. Claude S. Moore Danville Community College. Definition: Function.

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355 views • 13 slides
PRECALCULUS I

PRECALCULUS I

PRECALCULUS I. Graphs and Lines Intercepts, symmetry, circles Slope, equations, parallel, perpendicular. Dr. Claude S. Moore Danville Community College. Graph of an Equation. Equation - equality of two quantities.

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192 views • 10 slides
PRECALCULUS I

PRECALCULUS I

PRECALCULUS I. EXPONENTIAL & LOG EQUATIONS. Dr. Claude S. Moore Danville Community College. EXPONENTIAL & LOG INVERSE PROPERTIES. 1. log a a x = x ln e x = x . 2. a log a x = x e ln x = x . ONE-TO-ONE PROPERTIES. 1. log a x = log a y iff x = y.

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211 views • 10 slides
PRECALCULUS I

PRECALCULUS I

PRECALCULUS I. EXPONENTIAL & LOG MODELS. Dr. Claude S. Moore Danville Community College. FIVE COMMON TYPES OF MATHEMATICAL MODELS. 1. Exponential Growth 2. Exponential Decay 3. Gaussian Model 4. Logistics Growth 5. Logarithmic Model. 1. EXPONENTIAL GROWTH.

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205 views • 9 slides
PRECALCULUS I

PRECALCULUS I

PRECALCULUS I. Mathematical Modeling Direct, inverse, joint variations; Least squares regression. Dr. Claude S. Moore Danville Community College. Direct Variation Statements. 1. y varies directly as x. 2. y is directly proportional to x. 3. y = mx for some nonzero constant m.

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398 views • 8 slides

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