PLZ Help MESelect the correct answer from each drop-down menu.Observe the functions below.f(x)=3x+6g(x)=(8/5)^xComplete the following sentences to compare the two functions.Over the interval (1,2),(3,4),(4,5),(2,3), the average rate of change of g is greater than the average rate of change of f.As the value of x increases, the average rates of change of f and g (remain constant decrease),(decrease and increase),(remain constant and increasing),(decrease and decrease),(increase and decrease),(increase and increase) , respectively.When the value of x is equal to 8, the value of (f(x) equals the value of g(x)),(g(x) exceeds value of f(x),(f(x) exceeds value of g(x)It can be further generalized that a quantity increasing exponentially will (always),(eventually),(never) exceed a quantity increasing linearly.

Answer:Step-by-step explanation:B A B BOn Desmos, the derivative (slope) of a function can be shown by using a "prime" (apostrophe) after the function name. Here, we've drawn a dashed blue curve to show where the slope of g(x) exceeds that of f(x). g(x) has a greater slope for all values of x that are more than 4. Any interval bounded by 4 on the left end will be an interval in which the slope of g(x) exceeds the slope of f(x).Without the graphing calculator, you can estimate that that a line parallel to f(x) will be tangent to g(x) at about x=4. Then for points to the right of that, g(x) has greater slope. Your interval [4, 5] is the only offering for Blank 1 that is appropriate.The slope of any linear function will "remain constant", so you only need to decide if the slope of g(x) is increasing or decreasing. Your consideration of the curve already should tell you the slope will "increase" as x gets larger.The value of f(x) is very close to the value of g(x) at x=7. They are the same when x is about x = 7.016. Up to that point, f(x) is larger. f(7) = 27; g(7) = 26.8435456. There should be no argument.An exponential function eventually exceeds any kind of polynomial function as x gets large.