Which monomial function is described by the following statements?

as x > 0 increases, f(x) increases. as x < 0
decreases, f(x) decreases.

a. odd monomial function with negative a

b. odd monomial function with positive a

c. even monomial function with positive a

d. even monomial function with negative a

Option:b is the correct answer.

b. odd monomial function with positive a.

Step-by-step explanation:

Let us consider a monomial function as:

                                ⇒If a is negative.

Case 1:

if n is odd.

then As x>0 increases.

f(x) decreases.

and if x<0 decreases.

f(x) increases.

Case 2:

if n is even.

then As x>0 increases.

f(x) decreases

and if x<0 decreases.

f(x) decreases.

                                    ⇒If a is positive.

Case 1:

if n is odd.

then As x>0 increases.

f(x) increases.

and if x<0 decreases.

f(x) decreases.

Case 2:

if n is even.

then As x>0 increases.

f(x) increases.

and if x<0 decreases.

f(x) increases.

Hence, the function that best describes the condition:

As x > 0 increases, f(x) increases. As x < 0    decreases, f(x) decreases.

is:

b. odd monomial function with positive a.

28

step-by-step explanation:

8+8+6+6

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above