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UTMA REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024

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UTMA REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024 even function >symmetric about y-axis > f(-x) = f(x) odd function >symmetric through a line through origin > f(-x)=-f(x) domain of f(g(x)) >x-values in domain of g >x-values that make g(x) in domain of f what...

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  • June 24, 2024
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  • 2023/2024
  • Exam (elaborations)
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UTMA REVIEW WITH COMPLETE SOLUTIONS
100% 2023/2024
even function
>symmetric about y-axis
> f(-x) = f(x)


odd function
>symmetric through a line through origin
> f(-x)=-f(x)


domain of f(g(x))
>x-values in domain of g
>x-values that make g(x) in domain of f


what does an inverse function do
flips graph over y=x


to test if two functions are inverses
f-1(f(x)) = x
f(f-1(x)) = x
(plug inverse into f and plug f into inverse, must get x)


to find an inverse
switch x and y


to test if a function has an inverse
horizontal line test (does not have an inverse if a horizontal line intersects the graph at more than
point "1 to 1"


does an inverse exist for y = +/- radical x
no because two y values for every x- value


what is the HA?
BOBO BOTN EATS DC


to find slant asymptote
do long division and ignore remainder


rewrite f(x)=|2x-3| in piece-wise way
2x-3 if x greater than or equal to 3/2
-2x+3 if x is less than 3/2


a^x when x=0
1

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