Which of the following describes the end behavior of the function f(x) = –5x3 + 3x2 + x – 9? a. as x → –∞, y → –∞ and as x → +∞, y → –∞ b. as x → –∞, y → –∞ and as x → +∞, y → +∞ c. as x → –∞, y → +∞ and as x → +∞, y → –∞ d. as x → –∞, y → +∞ and as x → +∞, y → +∞

  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).

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)

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step-by-step explanation:

greater than one

step-by-step explanation: