Polynomial and Rational Functions Quiz

Which of the following is a polynomial function?

• f(x) = (x^2 + 3x - 1) / (x - 2)

• f(x) = x^3 + 2x^2 - 3x + 1

• f(x) = 1 / x

• f(x) = sqrt(x)

What is the degree of the polynomial function 'f(x) = 5x^4 - 2x^2 + 3x + 1'?

• 4

• 3

• 2

• 1

What is the y-intercept of the polynomial function 'f(x) = 2x^3 - 4x^2 + 5x - 6'?

• -6

• 5

• -4

• 2

What is the domain of the rational function 'f(x) = (x^2 - 9) / (x - 3)'?

• x ≠ 3

• x > 3

• x < 3

• x = 3

Simplify the rational expression: '(2x^2 + 4x) / (x^2 - 9)'.

• (2x(x+2)) / ((x+3)(x-3))

• (2x(x-2)) / ((x+3)(x-3))

• (2(x+2)) / (x-3)^2

• (2(x-2)) / (x-3)^2

Tags

CCSS.HSA.APR.D.6

Multiply and simplify the rational expressions: `(x^2)/(x-3) * (2x-1)/(x+4)`.

• (2(x^2 + 3x - 2)) / (x^2 + x - 12)

• (x^2 + 5x - 8) / (2x^2 + x - 12)

• (2x^2 + 3x - 2) / (x^2 + x - 12)

• (x^2 + 5x - 8) / (x^2 - 2x - 3)

Tags

CCSS.HSA.APR.D.7

Divide and simplify the rational expressions: `(2x^2 + 5x - 3) / (x^2 - 4x + 3) + (x^2 - 9) / (x^2 - 5x + 6)`.

• (2(x-1)(x-2)) / ((x-1)(x-3))

• ((2x+3)(x-1)(x-3)) / ((x-1)(x-3)(x+1)(x-6))

• ((2x+3)(x-1)(x-3)) / ((x-1)(x-3)(x+2)(x-3))

• ((2x-1)(x+3)) / ((x+3)(x-3))

Tags

CCSS.HSA.APR.D.7

Simplify the rational expression: `(2x^2 + 8x) / (6x^3 + 12x^2)`.

• 1/(3x)

• 1/(3x^2)

• (x+4) / (3x(x+2))

• 1/(3(x+2))

Tags

CCSS.HSA.APR.D.6

Find the equation of the horizontal asymptote of the function `f(x) = (x^2 - 4x - 12) / (x^2 + 2x - 15)`.

• y = 1

• y = -1

• y = 0

• y = 2

Tags

CCSS.HSF-IF.C.7D

Simplify the rational expression: `(3x^2 - 2x - 1) / (x^2 - 1)`.

Tags

CCSS.HSA.APR.D.6