Calculate the average rate of change over the interval [1, 3] for the following function. f(x)=4(5)^x

240

Step-by-step explanation:

The average rate of a function f(x) is interval [a,b] is given by :-

Now, the given function :

Interval : [1,3]

Now, the average rate of change over the interval [1, 3]  is given by :-

Hence, the average rate of the change of the given function over the interval [1, 3] = 240

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.