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).

idk

step-by-step explanation:

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

multiple all that

step-by-step explanation:

27×17