Which of the following trigonometric ratios has a value that is undefined?

cosec

Step-by-step explanation:

Only two function cosec and cot of the five trigonometric function are undefined .

From the given option cosec is undefined as we know that

sin =0 and cosec is inverse of sin. So,

which is undefined.

  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).

hi! i think the answer is 1/2 : )