Question

1. List the possible rational zeros of the the polynomial function. Do not find the zeros.

f ( x ) = 3 x 5 − 5 x 2 + 6 x − 1

A) ± 1 , ± 3

B) ± 1 , ± 1 3

C) ± 1 , ± 1 3 , ± 3

D) ± 3 , ± 1 3

Group of answer choices

A

B

C

D

2. Find zeros and write the polynomial in factored form.

P ( x ) = 4 x 3 − 11 x 2 − 6 x + 9

A) − 1 , 3 4 , 3 ; P ( x ) = ( 4 x − 3 ) ( x − 3 ) ( x + 1 )

B)− 1 , 4 3 , − 3 ; f ( x ) = ( 4 x − 3 ) ( x − 3 ) ( x + 1 )

C) − 3 , 3 4 , 1 ; f ( x ) = ( 4 x − 3 ) ( x − 1 ) ( x + 3 )

D) 1 , 4 3 , − 3 ; f ( x ) = ( 4 x − 3 ) ( x − 1 ) ( x + 3 )

Group of answer choices

A

B

C

D

3. Find a polynomial P ( x ) of degree 3 that has integer coefficients and zeros 1 + i and 8

A) P ( x ) = x 3 + 6 x 2 + 16 x − 14

B)  P ( x ) = x 3 + x 2 − 14 x + 16

C)  P ( x ) = x 3 − 8 x 2 − 14 x − 12

D)  P ( x ) = x 3 + 6 x 2 − 14 x + 16

Group of answer choices

A

B

C

D

4. Given f ( x ) = 2 x + 6and  g ( x ) = 4 x 2 + 1. Find  ( g ∘ f ) ( 1 ).

5. The function f is one-to-one. Find its inverse.

f ( x ) = ( x + 2 ) 3 − 8

A) f − 1 ( x ) = x + 8 3 − 2

B) f − 1 ( x ) = x + 10 3

C)  f − 1 ( x ) = x + 6 3

D)  f − 1 ( x ) = x − 2 3 + 8

Group of answer choices

A

B

C

D

7. Find the domain of the function.

f ( x ) = log 7 ⁡ ( 9 − x 2 )

A) ( − ∞ , − 2 ) ∪ ( 2 , ∞ )

B) ( − 2 , 2 )

C) ( − 4 , 4 )

D) [ − 2 , 2 ]

Group of answer choices

A

B

C

D

10. Find the amount in a savings account at the end of 9 years if the amount originally deposited is $9000 and the interest rate is 7% compounded semiannually. Round your answer in two decimal places.

Group of answer choices

A) $12,266.08

B) $18,389.14

C) $167,670.00

D) 16,717.40

11. Find out how long it takes a $2900 investment to double if it is invested at 7% compounded semiannually. Round to the nearest tenth of a year.

Group of answer choices

A) 10.3 yr

B) 10.1 yr

C) 9.9 yr

D) 10.5 yr

Answer 1