In the folowing problems, be sure to consider al kinds of functions: polynomial, rational, trigonometric,
exponential, logarithmic, etc.
a. give an example of a function f: ℝ → ℝ that satisfies f(x ∙ y) = f(x) + f(y).
b. give an example of a function g: ℝ → ℝ that satisfies g(x + y) = g(x) ∙ g(y).
c. give an example of a function ℎ: ℝ → ℝ that satisfies ℎ(x ∙ y) = ℎ(x) ∙ ℎ(y).

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure acb onto itself? a coordinate plane with figure acb with point a at 1, 1, c at 3, 4 and b at 5, 1 yes, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) yes, a″c″b′ is located at a″(1, 1), c″(3, 4), and b″(5, 1) no, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) no, a″c″b″ is located at a″(1, 1), c″(3, 4), and b″(5, 1)

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.