x---- independent variable
f(x)--- dependent variable(can also be "y")
The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.
Ok... Lemme explain
Say you have an equation
f(x)=2x+1
let x be take value from all natural Numbers (1,2,3..….)
When x is 1
f(x) = f(1) = 2(1)+1
=3
when x is 2
f(x)=f(2) = 2(2)+1 =5.
So for every x value... There's a unique value for f(x).
You dig?
Now
let's proceed to your question.
We're already given tbe values of x and f(x)
What we now need to find is the equation that corresponds to the values being gotten
From the table
When x =1 ...….f(x)=8
When x=2 .........f(x) = 32
When x=3 ...........f(x)=128
Etc
Which equation from the options will give you these values of f(x)???
You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).
Fun right?
OK. From Observation....
OPTION A WILL DO THE JOB.
f(x)=2.4^t where "t" represents x in this case.
Input your values of x in this
You'll get the exact f(x) value
Eg
when x= 1... f(x)= 2.4¹ =8
x=2 ..….f(x) = 2. 4² = 2.16 = 32.
OPTION A IS OUR ANSWER.
HAVE A GREAT DAY BRO!
