Question

Use two points to write an equation for each function shown NEED HELP FILLING THIS OUT!!!?

Answer 1

Answer:

I think that the answer is C

Answer 2

Answer:

The required answer for blank 1 is $\frac{1}{2}$, for blank 2 is $\frac{1}{2}$, for blank 3 is 0, for blank 4 is 1 and for blank 5 is $(\frac{1}{2})^x$.

Step-by-step explanation:

From the given table it is noticed that the value of function f(x) at x=-1 is 2 and the value of function f(x) at x=-2 is 4.

The exponential function is defined as

$f(x)=ab^x$

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

$\frac{f(-1)}{f(-2)}=\frac{2}{4}=\frac{1}{2}$

Therefore the required answer for blank 1 is $\frac{1}{2}$.

So, the growth rate is $b=\frac{1}{2}$.

Since a is the initial value, therefore

$a=f(0)=1$

Therefore the exponential function is

$f(x)=(1)(\frac{1}{2})^x$

$f(x)=(\frac{1}{2})^x$

Therefore required answer for blank 1 is $\frac{1}{2}$, for blank 2 is $\frac{1}{2}$, for blank 3 is 0, for blank 4 is 1 and for blank 5 is $(\frac{1}{2})^x$.