Question

Find the equation of the exponential function represented by the table below: HELLPPP

Answer 1

Answer:

y = 4 (\frac{1}{2}) ^{x}

Answer 2

Answer:

y = 4 $(\frac{1}{2}) ^{x}$

Step-by-step explanation:

For an exponential function in the form

y = a $b^{x}$

Use ordered pairs from the table to find values of a and b

Using (0, 4 ), then

4 = a $b^{0}$ ( $b^{0}$ = 1 ), thus

a = 4, so

y = 4 $b^{x}$

Using (1, 2 ) , then

2 = 4 $b^{1}$ = 4b ( divide both sides by 4 )

b = $\frac{1}{2}$

Thus exponential function is

y = 4 $(\frac{1}{2}) ^{x}$