Question

1. Which is the equation of the power function p(x) = ax3 where p(2) = 48?

a. p(x) = 24x3
b. p(x) = 6x3
c. p(x) = 6x3
d. p(x) = 8x3
2. Which is the completely factored form of 27x3 + y6?
a. (3x + y2)3
b. (3x + y2)(9x2 + y4)
c. (3x y2)(9x2 + 3xy2 + y4)
d. (3x + y2)(9x2 3xy2 + y4)
3. Which function is an even function?
a. f(x) = x2
b. f(x) = 6x3
c. f(x) = x 2
d. f(x) = 2x3 + 2

Answer 1

1 ) p ( 2 )= 6 · 2³ = 6 · 8 = 48
Answer: B ) p ( x ) = 6 x³
2 ) 27 x³ + y^6 = ( 3 x + y² ) ( 9 x² - 3 x y² + y^4 )
Answer: D )
3 ) For even function: f ( -x ) = f ( x )
f ( x ) = x²
f ( - x ) = ( - x )² = x²
Answer: A ) f ( x ) = x²