Rational Functions AP Precalculus

A rational function can be written in the form

• n(x)/d(x)
• 3x+4
• 4x²+3x+4
• 3^x-7

A vertical asymptote is found by setting the _________= to zero and solving for x 

• Numerator
• Denominator
• Right side 
• Left side

Horizontal asymptotes are  dotted lines  through the _____ axis

• x axis
• y axis

x intercepts are points where the graph crosses the ___ axis

• y axis
• x axis

How many Y intercepts are possible for a rational function? 

• 0 or 1
• 2 
• more than 3

True or False
The domain of a rational function can be determined by setting the denominator equal to zero. Then solving for x values that make the denominator zero. 

• True
• False

What type of function is 
f(x) =3x+1 ∕4x-1

• Quadratic
• Linear
• Rational
• square root

Factor the quadratic into binomials
x²+5x+6

• (x+1)(x-6)
• (x-3)(x+2)
• (x+3)(x+2)
• (x+4)(x+2)

A Slant asymptote is also called an ______ asymptote

• Right asymptote
• Left asymptote
• Oblique asymptote
• Rational asymptote

The rational function
 y = 2x²+4x/ 5X²- 3x
has a horizontal asymptote at ____

• y=0
• y=1/5
• y= 2/5
• y=1