Question

The table below represents the function F. The equation that represents this function is

Answer 1

Hello!

The answer is:

C. $F(x)=2^{x}-1$

Why?

In order to find the correct option, we need to substitute/evaluate the given values of "x" into each function.

Substituting into the first equation, option A:

$F(x)=3^{x} \\F(3)=3^{3}=27\\F(3)=3^{4}=81$

... and so.

We can see that the option A is not the correct option since the obtained values do not match with the given values.

Substituting into the second equation, option B:

$F(x)=3x\\F(3)=3*3=9\\F(4)=3*4=12$

... and so.

We can see that the values obtained from the function do not match with the given values, so the option B is not correct.

Substituting into the third equation, option C:

$F(x)=2^{x}-1\\F(3)=2^{3}-1=8-1=7\\F(4)=2^{4}-1=16-1=15\\F(5)=2^{5}-1=32-1=31\\F(7)=2^{7}-1=128-1=127\\F(8)=2^{8}-1=256-1=255$

So, since all the obtained values match with the given values, we can conclude that the correct option is the option C.

Have a nice day!

Answer 2

Answer:

The answer is c

Step-by-step explanation: