Which function corresponds to the table of inputs and outputs?

f(x) = 3x + 2

f(x) = 2x + 5

f(x) = x + 7

f(x) = 3x + 1

f(x) = 3x + 2

Step-by-step explanation:

That's easy to find out.  You have your input number, which is your x value, and you have your output number which is your y value (or f(x)).

All you have to do is see if each of the proposed answer works for ALL entries in the data set.

f(x) = 3x + 2  

for x = 3 ===>  11 = 3 (3) + 2 = 11 YES

for x = 5 ===>  17 = 3 (5) + 2 = 17 YES

for x = 7 ===>  23 = 3 (7) + 2 = 23 YES

for x = 9 ===>  29 = 3 (9) + 2 = 29 YES

f(x) = 2x + 5  

for x = 3 ===>  11 = 2 (3) + 5 = 11 YES

for x = 5 ===>  17 = 2 (5) + 5 = 15 NO - we stop here for this function

f(x) = x + 7  

 for x = 3 ===>  11 = (3) + 7 = 10 NO - we stop here for this function

f(x) = 3x + 1

 for x = 3 ===>  11 = 3 (3) + 1 = 10 NO - we stop here for this function

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !