UTMA REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024

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