Question

What are true of the function f(x)=49(1/7)x? Check all that apply

Answer 1

The given function is : y= f(x) =$49 [\frac{1}{7}]^x$

The statements which are true regarding this function is

1. As you can observe that y is defined for all values of x , so Domain is set of all values that x can take which is set of all real numbers.

2. Also, $x =\frac {\log[\frac{y}{49}]}{-\log7}$, so x is defined for all values of y. Range is all values that y can take which is also set of all real numbers greater than zero, i.e y>0.

As ,x =0 then y= 49 and $x_{1}$ =1 then $y_{1}$  = 7,

so ,$y_{1} = \frac{y}{7}$.

So, Option (1),(4) and (5) are correct.

Answer 2

The domain is all real numbers
The Range is y > 0
AS x increases by 1 the value of y is 1/7 of previous value