Question

Which graph best represents the function f(x) = 3(1.5)x?

graph of increasing exponential function going through point 0, 2

graph of increasing exponential function going through point 0, 3

graph of increasing exponential function going through point 0, 1

graph of increasing exponential function going through point 0, 4

Answer 1

answer is B the y inter is 3 so only one graph has the y inter of 3 so thats the answer i took the test:)

Explanation:

Answer 2

B). graph of increasing exponential function going through point (0, 3)

Explanation:

Given function is
`f\left(x\right)=3\left(1.5\right)^x`

Now we need to find about which of the given choices best describes the given function. Where given choices are:

A). graph of increasing exponential function going through point 0, 2

B). graph of increasing exponential function going through point 0, 3

C). graph of increasing exponential function going through point 0, 1

D). graph of increasing exponential function going through point 0, 4

plug x=0 into given function

`f\left(x\right)=3\left(1.5\right)^x`

`f\left(0\right)=3\left(1.5\right)^0=3(1)=3`

Hence graph passes through point (0,3).

growth factor 1.5 is greater than 1 so that means it is increasing function.

Hence correct choice is:

B). graph of increasing exponential function going through point (0, 3)