R1ps - Chapter 1 Functions Graphs Limits and...

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Chapter 1 Functions, Graphs, Limits, and Continuity (Review) Stephen Suen Chapter 1 Functions, Graphs, Limits, and Continuity – p. 1/2 5
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1.1 The Cartesian plane Denoting points in the xy -plane – the coordinates of a point. The midpoint formula. The distance formula – Pythagorean Theorem. Chapter 1 Functions, Graphs, Limits, and Continuity – p. 2/2 5
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1.2 Graphs of equations Lines – the slope-intercept form. Quadratics – concave up and concave down. Cubics. Circles – standard form. Absolute values. Hyperbolas: y = 1 x . Chapter 1 Functions, Graphs, Limits, and Continuity – p. 3/2 5
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1.2.1 Main Examples Finding the center/radius of a circle – completing squares. Finding the x -intercept and the y -intercept. Supply, demand, and equilibrium point. Chapter 1 Functions, Graphs, Limits, and Continuity – p. 4/2 5
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1.3 Lines in the plane and slope Vertical lines: x = a, (the x -coordinate is a constant) . Horizontal lines: y = b, (the y -coordinate is a constant) . Meaning of the slope – rate of change of y wrt x : m = change in y change in x = Δ y Δ x . Chapter 1 Functions, Graphs, Limits, and Continuity – p. 5/2 5
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Slope m and y -intercept b : y = mx + b, (slope-intercept formula) . Slope m and a point ( x 1 , y 1 ) : y y 1 = m ( x x 1 ) , (point-slope formula) . Two points ( x 1 , y 1 ) and ( x 2 , y 2 ) : – find the slope first: m = y 2 y 1 x 2 x 1 . – then apply the point-slope formula (using
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R1ps - Chapter 1 Functions Graphs Limits and...

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