Question

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

Answer 1

Answer:

option-c

Step-by-step 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:

$y=4(3)^2$

$y=36$

$\frac{y_2}{y_1} =\frac{36}{12}$

$\frac{y_2}{y_1} =3$

$y_2=3y_1$

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