Question

For an increase of 1 in the x-value, what is the increase in the y-value?.

Answer 1

For an increase of 1 in the x-value, the increase in the y-value is 1.5 times.

given function is

$f(x) = 4(1.5)^x$, an exponential function.

What is an exponential function?

any function in the form $f(x)=p^x$ 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,

brainly.com/question/2456547