Question

Which of the following is true about the function y=4*3^x

a.
the function decreases
c.
if the value of x increases by 1, the value of y will triple.
b.
the function has a y-intercept of (0, 3)
d.
the function contains the point (1, 4)

Answer 1

option-c

Explanation:

we are given

`y=4(3)^x`

we will verify each options

option-A:

we can see that exponent is over 3

and it is positive and greater than 1

so, this function is increasing

so, this is FALSE

option-C:

At x=1:

`y=4(3)^1`

`y=12`

At x=2:

`y=4(3)^2`

`y=36`

`(y_2)/(y_1) =(36)/(12)`

`(y_2)/(y_1) =3`

`y_2=3y_1`

So, it is getting tripled

so, this is TRUE

option-b:

we can plug x=0

`y=4(3)^0`

`y=4`

so, this is FALSE

option-d:

we can plug x=1

`y=4(3)^1`

`y=12`

so, this is FALSE