Question

(Algebra II) 11. d. & e.

Answer 1

d.

Given : p(x) = x⁵

            p(-x) = (-x)⁵

            p(-x) = (-1)⁵(x)⁵

            p(-x) = -(x)⁵

            0.5p(-x) = -0.5(x)⁵

            0.5p(-x) + 4 = -0.5(x)⁵ + 4

            m(x) = -0.5(x)⁵ + 4

e.

Given : p(x) = x⁴

            p(0.5x) = (0.5x)⁴

            p(0.5x) = (0.5)⁴(x)⁴

           -p(0.5x) = -(0.5)⁴(x)⁴

           -p(0.5x) + 2 = -(0.5)⁴(x)⁴ + 2

            m(x) = -(0.5)⁴(x)⁴ + 2