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1.3 Functions

1.3 Functions. HW Pg. 42 #1 – 45 odd Quiz Thursday Determine the domain and range. 1.3 Functions. Absolute Value Function. Piece-wise Functions. How does the equation change from a basic absolute value? Write it as a Piece-wise Function.

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1.3 Functions

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  1. 1.3 Functions • HW Pg. 42 #1 – 45 odd Quiz Thursday • Determine the domain and range.

  2. 1.3 Functions Absolute Value Function Piece-wise Functions How does the equation change from a basic absolute value? Write it as a Piece-wise Function. • What does an absolute value function look like? • What is the piece-wise equation for an absolute value function?

  3. 1.3 Functions Write the Piece-wise equation from the graph.

  4. 1.3 Functions Graph the Piece-wise equation.

  5. Questions on HW • HW #1 Pg. 11 #11 – 24 Pg. 21 #7 – 10 • HW #2 Pg. 21 #20 – 29 Pg. 30 #1 – 30 • HW #3 Pg. 30 – 32 #31 – 53 all

  6. 1.4 Linear Functions and Inequalities Slope Find the slope from the given information. (-3, 2) (-1, -2) (1, 2) (-3, 2) (4, -5) (4, 5) (-1, 2) (4, -2) • The slope of a line through two non-vertical points (x1, y1) and (x2, y2) is given by:

  7. 1.4 Linear Functions and Inequalities Parallel and Perpendicular Horizontal and Vertical Lines Horizontal lines: Vertical lines: Find an equation of the line which passes through the points (5, 7) and (5, -8). • Parallel slopes are: • Perpendicular slopes are: • Determine whether the following sets of points are parallel, perpendicular or neither: (-5, 2),(2, 1) and (5, 3),(4, -10)

  8. 1.4 Linear Functions and Inequalities Slope-Intercept Form Point-Slope Form You can find the equation of a line using the slope and one ordered pair (a point). Find an equation of the line which passes through the point (5, -2) and has a slope of –½. • The graph of a straight line is easily described as: • Re-write the equation 3x + 5y = 12 to find the slope and y – intercept. Sketch a complete graph.

  9. 1.4 Linear Functions and Inequalities General Form Practice Find an equation of the line which passes through the point (4, -3) and is perpendicular to the line 2x – 5y = 20. Find an equation of the perpendicular bisector of the segment between the points (6, -3) and (2, 5). • Also known as Standard Form: • Given that A, B, and C are whole numbers • Given that A is positive • Rewrite y = ¼x – 7 in general form.

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