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Function Review Lessons 2.1-2.3 PowerPoint PPT Presentation


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Function Review Lessons 2.1-2.3. Advanced Math Topics Mrs. Mongold. Domain and Range. Remember basic rules: No negatives in radicals No fractions with 0 as the denominator Linear Functions: In the form y=mx+b Domain is ARN unless it’s vertical Range is ARN unless it’s horizontal

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Function Review Lessons 2.1-2.3

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Function review lessons 2 1 2 3

Function ReviewLessons 2.1-2.3

Advanced Math Topics

Mrs. Mongold


Domain and range

Domain and Range

  • Remember basic rules:

    • No negatives in radicals

    • No fractions with 0 as the denominator

  • Linear Functions:

    • In the form y=mx+b

    • Domain is ARN unless it’s vertical

    • Range is ARN unless it’s horizontal

  • Absolute Value:

    • Find corner

    • Domain is usually ARN

    • Range is determined by the y-value of the corner and whether the graph opens up or down

  • Piecewise Functions:

    • Domain and Range are determined solely by the function so you need to look at the graph to determine

      • If you don’t have a graph you need to graph it first!!!


Name the type of function and the domain and range for the function

Name the type of function and the Domain and Range for the function

  • f(x)= ½ x – 7

  • f(x)= 3x

    x-14


Name the type of function and the domain and range for the function1

Name the type of function and the Domain and Range for the function

  • f(x) = √x+11

  • f(x) = √x2 + 6


Name the type of function and the domain and range for the function2

Name the type of function and the Domain and Range for the function

  • f(x) = |2x + 5|

  • f(x) = 2

    x + 3


Name the type of function and the domain and range for the function3

Name the type of function and the Domain and Range for the function

x + 3 if x<0

  • f(x) = 5 if x = 0

    2x – 1 if x > 0

    8 if x < -4

    f(x) = x2 + 1 if -4< x < 4

    8 if x > 4


Evaluate the function for the given values f 3 f 4 and f a b

Evaluate the function for the given values f(-3), f(4), and f(a+b)

  • f(x) = -2x + 6

  • f(x) = (x – 2)2

  • f(x) = -x + 112


Write an equation for each function in the form f x mx b

Write an equation for each function in the form f(x) = mx + b

  • f(-2) = -10, f(2) = 2

  • f(0) = 5, f(7) = 3/2

  • f(1) = 8, m = ½


Homework

Homework

  • Pg 610-611/ 3-21 Multiples of 3


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