The functions \(f\) and \(g\) are defined by the given equations, whe… | Ronan SAT

|Question 11Math

Desmos Graphing Calculator

Question

Prompt

The functions

f

and

g

are defined by the given equations, where

x \geq 0

,

a

and

b

are integer constants,

a < b

, and

a > 1

. If

y = f (x)

and

y = g (x)

are graphed in the

x y

-plane, which of the following equations displays, as a constant or coefficient, the minimum value of the function it defines, where

x \geq 0

?

I.

f (x) = a (0.48)^{- b x}

II.

g (x) = a (1.52)^{x + 2} + b

I and II

A

Il only

B

Neither I nor II

C

I only

D