Respuesta :
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:
The correct options are 1, 4 and 5.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
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
[tex]f(x)=49(\frac{1}{7})^x[/tex]
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.
