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 [(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[(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) = (y)/(7)`.

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