Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).

y = 3

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = a → (2)

Divide (2) by (1)

= , that is

b³ = 8 ( take the cube root of both sides )

b = = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3 ← is the exponential function

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.