I will mark Brainliest please help

f(x) = 2

Step-by-step explanation:

f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.

We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).

As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.

Then we have have to find the slope which can be found by using the following formula.....

Now we have to choose two different points from table and let the one that has bigger x value be represented as   and the other one will be represented as . In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....

Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....

f(x) = mx + b

f(x) = 0x + 2

f(x) = 2

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.