Which are true of the function f (x) = 49 (1/7) ^x Check all that apply.

Answer: 1. 4. 5. are it, now keep scrolling; )

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.