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Today’s Objectives :

Pre- Calculus 1. Do Now. Today’s Agenda. Today’s Objectives :. SWBAT… Sketch graphs of parent functions Define domains and ranges of common parent functions Graph functions on a calculator with a restricted domain Graph absolute value functions

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Today’s Objectives :

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  1. Pre-Calculus 1 Do Now Today’s Agenda Today’s Objectives: • SWBAT… • Sketch graphs of parent functions • Define domains and ranges of common parent functions • Graph functions on a calculator with a restricted domain • Graph absolute value functions • Name domain and range of an absolute value function Work Time 2. Notes Topic: Parent Functions Homework: • Page 13 #1 – 14, 19 – 26 • Handout – Absolute Value

  2. Constant Functionf(x) = c • Domain • {x x  } • read as “x such that x belongs to the set of all real numbers.” • Range • {y  y = c} • read as “y such that y is equal to the constant value.” Features: A straight line gragh where y does not change as x changes.

  3. LinearFunctionf(x) = mx + b • Domain • {x x  } • Range • {y  y  } Features: A straight line graph where f(x) changes at a constant rate as x changes.

  4. QuadraticFunctionf(x) = x2 • Domain • {x x  } • Range • {y  y  0} Features: Graph is shape of parabola. The graph changes direction at its one vertex.

  5. Square Root Functionf(x) = • Domain • {x x 0} • Range • {y  y  0} Features: The inverse of a quadratic function where the range is restricted.

  6. Cubic Functionf(x) = x3 • Domain • {x x  } • Range • {y  y  } Features: The graph crosses the x-axis up to 3 times and has up to 2 vertices

  7. Cube Root Functionf(x) = • Domain • {x x  } • Range • {y  y  } Features: The inverse of a cubic function

  8. Power Functionf(x) = • Domain • {x x  } • Range • {y  y  } Features: The graph contains the origin if b is positive. In most real-world applications, the domain is nonnegative real numbers if b is positive and positive real numbers if b is negative.

  9. ExponentialFunctionf(x) = abx • Domain • {x x  } • Range • {y  y >0} Features:The graph crosses the y-axis at y = a and has the x-axis as an asymptote

  10. LogarithmicFunctionf(x) = loga x • Domain • {x x > 0} • Range • {y  y  } Features:The graph crosses the x-axis at 1 and has the y-axis as an asymptote.

  11. Absolute ValueFunctionf(x) = • Domain • {x x  } • Range • {y  y  0} Features: The graph has two halves that reflect across a line of symmetry. Each half is a linear graph.

  12. Homework: • Page 13 #1 – 14, 19 – 26 • Handout – Absolute Value

  13. Polynomial Function • http://zonalandeducation.com/mmts/functionInstitute/polynomialFunctions/graphs/polynomialFunctionGraphs.html • *zero degree • *first Degree • *second degree • *third degree • Fourth degree

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