Which graph represents the function f(x)=3⋅5^x?

It's exponential function, the base is 5.

Horizontal asymptote is y = 0

At x = 0, y = 3

x = 1, y = 15

Step-by-step explanation:

Given is an exponential function of the form

We find that 5 is the base and the original exponent funciton

is dilated by a scale factor of 3.

When x=0, y = 3

Please  see attachment for the graph both parent and the given graph

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."