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