which exponential function is represented by the values in the table?

f(x) = 1/2(4)x
f(x) =4(4)x
f(x) = 4(1/2)x
f(x) = 1/2(1/2)x

The correct option is C). f(x)=

Step-by-step explanation:

Given table show value of y=f(x) with respect to value x.

Table:

X    Y

0    4

1     2

2    1

By looking at given options,

Let f(x)=

Now, Using a given table values.

When x=0, f(x)=4

f(x)=

f(0)=

4=

a=4

When x=1, f(x)=2

f(x)=

f(1)=

also, a=4

2=

2=4xb

b=

Replacing value of a and b in f(x)

we get,

f(x)=

The correct option is C). f(x)=

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.