To three decimal places, find the value of the first positive x-intercept for the function f(x) = 2cos(x + 4) 1.712 0.712 –2.429 –2.712

The correct option is B.

Step-by-step explanation:

The given function is

We need to find the first positive x-intercept for the function f(x).

Equate f(x)=0, to find the x-intercepts.

Divide both sides by 2.

Subtract 4 from both sides.

For n=-1,

For n=0,

For n=1,

The first positive x-intercept for the function f(x) is 0.712. Therefore the correct option is B.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answ9x x 3=

step-by-step explanation: