Question

Which of these values for Pand a will cause the function f(x)=Pa* to be an

exponential growth function?
O A. P=6; a = 1/8
O B. P = 6; a = 1

c. P= 1/6; a=8

D. p= 1/6; a= 1/8​

Answer 1

c. P= 1/6; a=8

Explanation:

we know that

The equation of a exponential growth function is given by

`f(x)=P(a^x)`

where

P is the initial value or y-intercept (this vale cannot be equal to zero)

a is the base of the exponential function ( in a exponential growth function the value of a is greater than 1)

Verify each case

case A) P=6; a = 1/8

Is not a exponential growth function, because a < 1 (is a decay exponential function)

case B) P=6; a = 1

Is not a exponential function

case C) P= 1/6; a=8

Is a exponential growth function, because a > 1 and P is not zero

case D) P=1/6; a = 1/8

Is not a exponential growth function, because a < 1 (is a decay exponential function)