Question

[HELP!!! Giving 40 points!!]An exponential function has a form f(x)=ab^x where a and b are constant values for the function. The table of values shown represents an exponential function. What is the equation for the table?

Answer 1

f(x)=8 (0.5)x

Explanation:

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Answer 2

f(x) = 64 * (3/4)^x

Explanation:

f(x)=ab^x

When x=0 f(x) = 64

64 = ab^0

b^0 =1 so

64 =a

f(x)=64 b^x

When x=1 f(x) = 48

48 = 64 *b

Divide by 64

48/64 =b

6/8 =b

3/4 =b

f(x) = 64 * (3/4)^x