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The function h is given by h(x) = 6 ⋅ 2^x. Which of the following is an equivalent form for h(x)?

12. The function h is given by h(x) = 6 ⋅ 2^x. Which of the following is an equivalent form for h(x)?
(A) h(x) = 6 ⋅ 2^x
(B) h(x) = 9 ⋅ 2^x
(C) h(x) = 18 ⋅ 2^x
(D) h(x) = 9 ⋅ 16^x
13. The function k is given by k(x) = a^x ⋅ 4^x, where a is a positive constant. Which of the following is an equivalent form for k(x)?
(A) k(x) = a ⋅ 2^(x/2)
(B) k(x) = a^x ⋅ 2^(x/2)
(C) k(x) = a ⋅ 16^(x/2)
(D) k(x) = a^x ⋅ 16^(x/2)
14. Which of the following functions is an equivalent form of the function p(x) = 3^(3−2x)?
(A) p(x) = (−9)^x
(B) p(x) = (−9)^−x
(C) p(x) = (−1/9)^x
(D) p(x) = (−1/9)^−x
15. The function m is given by m(x) = 8 ⋅ 9^(x/3). Which of the following is an equivalent form for m(x)?
(A) m(x) = 2 ⋅ 3^x
(B) m(x) = 2 ⋅ (√9)^x
(C) m(x) = 8 ⋅ 3^x
(D) m(x) = 8 ⋅ (√9)^x

Answer

  1. 12.

    The equivalent form for h(x) is (A) h(x) = 6 ⋅ 2^x.

  2. 13.

    The equivalent form for k(x) is (D) k(x) = a^x ⋅ 16^(x/2).

  3. 14.

    The equivalent form for p(x) is (C) p(x) = (−1/9)^x.

  4. 15.

    The equivalent form for m(x) is (C) m(x) = 8 ⋅ 3^x.

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