Based on the graph of the functions, which of the following statements is true?

a.
f(x) eventually exceeds g(x) because f(x) is increasing linearly
b.
at x = 13, the value of f(x) is more than the value of g(x).
c.
g(x) eventually exceeds f(x) because g(x) is increasing exponentially
d.
over the interval [3, 5], the average rate of change of g is greater than the average rate of change of f.

  C.  g(x) eventually exceeds f(x) because g(x) is increasing exponentially

Step-by-step explanation:

Comments on the other choices:

  A -- an exponential function eventually exceeds any polynomial function. (A linear function is a polynomial of degree 1.)

  B -- at x=13, f(x) = 17; g(x) ≈ 18.2, so g(x) is more

  D -- over the given interval, the average rate of change of g(x) is about 1/2 (1 unit rise for 2 units run) compared to the slope of 1 that f(x) has.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?