Select the correct answer. Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit. Function g is represented by the table. x 0 1 2 3 4 g(x) 75 43 27 19 15 Which statement correctly compares the two functions on the interval [0, 4]? A. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval. B. Both functions are decreasing, but function f is decreasing at a faster average rate on that interval. C. Function f is decreasing, but function g is increasing, on that interval. D. Both functions are decreasing at the same average rate on that interval.

step-by-step explanation:

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the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.