Rational Function Graphs

A line

A parabola

A gradual curve

A hyperbola

A circle

Roots

Indexes

Branches

Curves

Axis of symmetry

x≥ 0 and y≥0

x≤ 0 and y≤0

(−∞,∞) and

(−∞,∞)

All nonzero real numbers

All real numbers

x=0 

y=0 

 x=1

y=1

x=0 and y=0

x= h as its horizontal asymptote and y=k as its vertical asymptote

x=h as its vertical asymptote and y=k as its horizontal asymptote

x = -h as its horizontal asymptote and y=k as its vertical asymptote

x = -h as its vertical asymptote and y=k as its horizontal asymptote

Not sure what an asymptote is but I feel none of the answers listed are correct

Vertical stretch by factor of 5

Vertical compress by a factor of 5

Translation 5 units to the right

Translation 5 units to the left

Translation 5 units up

x $$\ne$$  -3

x $$\ne$$  3

(- $$\infty$$  ,3) $$\cup$$  (3, $$\infty$$  )

(- $$\infty$$  ,-3) $$\cup$$  (-3, $$\infty$$  )

(- $$\infty$$  ,3] $$\cup$$  [3, $$\infty$$  )

horizontal asymptote is -2 and vertical asymptote is 2

horizontal asymptote is 2 and vertical asymptote is -2

horizontal asymptote is -6 and vertical asymptote is 2

horizontal asymptote is 1/2 and vertical asymptote is -6

horizontal asymptote is 2 and vertical asymptote is -1/2

vertical asymptote is 3 and horizontal asymptote is 1

vertical asymptote is 1 and horizontal asymptote is 3

vertical asymptote is 1 and horizontal asymptote is -3

vertical asymptote is -1/3 and horizontal asymptote is 1

vertical asymptote is 3 and horizontal asymptote is -1/3

Domain: All real numbers except -1

Range: All real numbers except 2/3

Domain: All real numbers except -1

Range: All real numbers except -3/2

Domain: All real numbers except 2/3

Range: All real numbers except -1

Domain: All real numbers except -2/3

Range: All real numbers except -1

Domain: All real numbers except 4/3

Range: All real numbers except 1