Rational Functions

How do you find a slant asymptote?

• by using long division

• by setting the denominator = 0 and solve for x

• by plugging 0 in for x's on the numerator

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x=1, x= 2, y =1, y= 2

• x= 2, x=-2, y = 1

• x=2 y =-1

• x=1 y =2, y =-2

Tags

CCSS.HSF-IF.C.7D

Simplify the rational function

• 1/(x + 5)

• 1/(x - 5)

• (x - 5)(x + 5)

• (x - 5)/[(x - 5)(x + 5)]

Tags

CCSS.HSA.APR.D.6

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

Tags

CCSS.HSF-IF.C.7D

What are the x-intercepts?

• x= 2/3

• x= 4, x = -2

• x= -8, x = 1

• x= -4, x = 2

Tags

CCSS.HSF-IF.C.7D

• A.

• B.

• C.

• D.

Tags

CCSS.HSA.APR.D.7

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Tags

CCSS.HSA.APR.D.7

What is the domain and range of f(x)=(2x+5)/(x+3)?

• Domain: (-∞,-3)U(-3,∞) Range: (-∞,2)U(2,∞)

• Domain: (-∞,2)U(2,∞) Range: (-∞,-3)U(-3,∞)

• Domain: (-∞,-½)U(-½,∞) Range: (-∞,2)U(2,∞)

• Domain: (-∞,-3)U(-3,∞) Range: (-∞,4)U(4,∞)

Factor and cancel out in order to simplify.

• 1/(n-7)

• n-7

• (n-6)/(n-7)

• n-6

Tags

CCSS.HSA.APR.D.6

• (n + 4) / 10n

• (n + 4) 10

• 1 / (n - 7)

• (n - 7) / 10n

Tags

CCSS.HSA.APR.D.6