Question

Which are true of the function f(x)=49(1/7)^x

Answer 1

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

Step-by-step explanation:

The  function given to us  is : y= f(x) =49(1/7)^x

The following  statements  are true regarding the above function is

• As you can see  that  the value of y(49)is defined for  all values of x , so the Domain is the set of all values of x , which is set of all real numbers.

• X is defined for all values of y. So the Range of  all the values that y can take  is also set of all real numbers greater than zero, i.e y>0.

• As x increased by 1, each y-value is one seventh of the previous y-value

Answer 2

Answer:

The correct options are 1, 4 and 5.  

Step-by-step explanation:

The general form of an exponential function is

$f(x)=ab^x$

where, a is initial value and b is growth factor.

Domain of this function is all real numbers. If a>0, then range is all positive numbers.

The given function is

$f(x)=49(\frac{1}{7})^x$

where, a =49 and b=1/7.

It is an exponential function. So, the domain is the set of all real numbers.

Since, a=49 which is a positive value, therefore the range is y>0.

The value of b is 1/7, it means as x increased by 1, each y-value is one seventh of the previous y-value.

Therefore, the correct options are 1, 4 and 5.