Function f is shown in the table. what type of function is function f? linear exponential neither linear nor exponential the table is: x f(x) −5 8192 −3 512 −1 32 1 2 3 18

The correct option is 2. The given function is an exponential function.

Step-by-step explanation:

From the given table it is noticed that the rate of change is not constant, therefore it is not a linear function.

The general form of an exponential function is

From the given table it is noticed that the function passing through the points (1,2) and . It means the equation must be satisfy by these points.

                 ..... (1)

              ..... (2)

Divide equation (2) by equation (1).

Put this value in equation (1).

The function is

Check the above equation by remaining points.

Since all the point satisfy the function, therefore the given function is an exponential function. Option 2 is correct.

Exponential

Step-by-step explanation:

Here, the given table,

x           −5       −3​      ​−1​             1             3

f(x)       8192         512          32           2            18,

we know that, a linear function changes at a constant rate,

Here, the rate of change is not constant,

Because,

Thus, the function can not be linear,

Now, let us consider the given function f is exponential,

That is,

By the table, for x = 1, f(x) = 2,

Also, for x = 3, f(x) = 1/8,

Thus, the exponential function would be,

-----(1)

Now,

Since, all the given points of the table satisfying the exponential function (1),

Hence, function f is exponential.

d

step-by-step explanation:

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm