23 Algebra 2 1.1 Domain Range and End Behavior
– boolean algebra taking x = 2 in the third law above shows that it is not an ordinary algebra law since 2×2 = 4 the remaining five laws can be falsified in ordinary algebra by taking all variables to be 1 for example in absorption law 1 the left hand side would be 1 1 1 = 2 while the right hand side would be 1 and so on
when looking at the equation of the moved function however we have to be careful when functions are transformed on the outside of the f x part you move the function up and down and do the “regular” math as we’ll see in the examples below these are vertical transformations or translations and affect the y part of the function when transformations are made on the inside of polynomial graphs and roots we learned that a quadratic function is a special type of polynomial with degree 2 these have either a cup up or cup down shape depending on whether the leading term one with the biggest exponent is positive or negative respectively think of a polynomial graph of higher degrees degree at least 3 as quadratic graphs but with more twists and turns
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practice and problem solving chandler unified school name da e class domain range and end behavior practice and problem solving c for problems 1 2 let fix = x2 4 1 graph the function 2 determine the domain and range of f using set notation and interval notation .
1 1 domain range and end behaviortebook end behavior as x as x —00 explain 1 identifying a function s domain range and end behavior from its graph recall that the domain of a function fis the set of input values x and the range is the set of output values f x the end behavior of a function describes what happens to the f x values as the x values either increase without bound .
mr feasel s wiki honors algebra 2 module 1 ap stats honors algebra 2 harley and bentley algebra 1 honors algebra 2 module 1 edit 0 7 lesson 1 1 con t domain range and end behavior pg 6 2 4 all 6 8 14 15 thurs 9 4 graphing calculators finding domain range intervals of increasing decreasing end behavior
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