For each of the following functions, determine whether it is injective, surjective, both, or neither. Justify your answer. (Be careful to make sure you understand exactly what the domain and codomain are for each of these functions.)

a. f: N→ R with the assignment rule f(x) = 4x^2.
b. H: P2 → R with the assignment rule Hp) = 4p'(1) - 3. (Clarification: Here p is a polynomial, and p' (x) is the derivative of p, which is also a polynomial. Then p'(1) is a number, which you get from plugging in x = 1 into the polynomial p'(x).)
c. q: R → R x R with the assignment rule q(x) = (2x - x^3).

Ineed with 14, 16, 28 and 36 me. we didn't go over them in class so i don't know what to do.

What is the solution to the equation 9^(x+1) =27

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.