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Question: new functions with specific properties can be created by combining...

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New functions with specific properties can be created by combining two functions 12. tom different function families (i.e., linear, quadratic, cubic, trigonometric, logarithmic, exponential) through the operation of addition, subtraction multiplication, division, or through composition. Example: Create a combination of 2 functions that results such that the resulting function is always increasing. Sample Answer If f(x) = 2x and g(x) = x, and the operation is addition, then h(x)-2 + x is always increasing Create a combination of two functions such that the resulting new function: a. has a vertical asymptote at x 3 b. is asymptotic to the x axis c. is an even function d. is an odd function e. has exactly 2 zeros.
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