Which is a stretch of an exponential growth function?
a. f(x)=2/3(2/3)^xb. f(x)=3/2(2/3)^xc. f(x)=3/2(3/2)^xd. f(x)=2/3(3/2)^x?

The correct option is C.

Step-by-step explanation:

The general form of an exponential function is

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

If b>1, then f(x) is a growth function and if 0<b<1, then f(x) is a decay function.

Stretch and compression is defined as

If |k|>1, then k is stretch factor and if |k|<1, then k is compression factor.

Since the function is stretch of an exponential growth function, therefore the function is in the form of

where, b>1 and k>1.

Only in option C,

Therefore, the correct option is C.

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.