(4.07) which of the following exponential functions goes through the points (1,12) and (2,36)

a. f(x) = 4(3)-x

b. f(x) = 3(4)-x

c. f(x) = 3(4)x

d. f(x) = 4(3)x

D

Step-by-step explanation:

The equation of an exponential function  is

y = a

To find a and b, substitute (1, 12) and (2, 36) into the equation

(1, 12) → 12 = ab → (1)

(2, 36) → 36 = ab² → (2)

divide (2) by (1)

=

b = 3

substitute b = 3 into (1)

12 = 3a ⇒ a = 4

f(x) = 4 → D

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

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step-by-step explanation: