Find the average rate of change please

The Average rate of change of function f(x)

A(x) = 3

Step-by-step explanation:

Step(i):-

Given function f(x) = x²-2

Given values x = a = -1 and  x = b =4

The Average rate of change of function f(x)

Given function f(x) = x²-2

                f(a) =f(-1) = (-1)²-2 = 1-2 = -1

                f(b) = f(4) = (4)²-2 = 16-2 = 14

Step(ii):-

The Average rate of change of function f(x)

Final -

The Average rate of change of function f(x)

A(x) = 3

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

1,918

step-by-step explanation: