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Advanced Math Topics: Functions Review (Lessons 2.1-2.3)

Enhance your understanding of domain and range in advanced math functions, including linear, absolute value, and piecewise functions. Practice evaluating functions and solving equations to solidify your knowledge. Homework: Pg. 610-611 / 3-21 Multiples of 3.

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Advanced Math Topics: Functions Review (Lessons 2.1-2.3)

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  1. Function ReviewLessons 2.1-2.3 Advanced Math Topics Mrs. Mongold

  2. 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!!!

  3. Name the type of function and the Domain and Range for the function • f(x)= ½ x – 7 • f(x)= 3x x-14

  4. Name the type of function and the Domain and Range for the function • f(x) = √x+11 • f(x) = √x2 + 6

  5. Name the type of function and the Domain and Range for the function • f(x) = |2x + 5| • f(x) = 2 x + 3

  6. 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

  7. 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

  8. 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

  9. Homework • Pg 610-611/ 3-21 Multiples of 3

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