Respuesta :
For an increase of 1 in the x-value, the increase in the y-value is 1.5 times.
given function is
[tex]f(x) = 4(1.5)^x[/tex], an exponential function.
What is an exponential function?
any function in the form [tex]f(x)=p^x[/tex] is called an exponential function. here p is always greater than or equal to 1.
let us put x=0 in the above equation
f(o) = 4
so graph clearly passing through (0,4)
f(1) = 4*1.5^1=6
f(2) = 4*1.5^2 =9 i.e 6*1.5
f(3) = 4*1.5^3 = 13.5 i.e 9*1.5
so it is clear that each time the value of the function is increasing by a factor of 1.5.
thus, for an increase of 1 in the x-value, the increase in the y-value is 1.5 times.
to get more about exponential function refer to the link,
https://brainly.com/question/2456547