Asymptotes, Domain, Range, Intercepts and End Behavior

Identify the end behavior of the graph.

• Intercepts

• Domain

• Range

• Asymptotes

• End Behavior

• (5, 0)

• (0, 5)

• (0, 4)

• (4, 0)

• (0, 1) and no x-intercept

• (1, 0) and no y-intercept

• (1,4) and (0, 1)

• (0,1) and (1,0)

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,∞)

What are the vertical asymptotes of f(x)=(x²+3)/(x²+x-6)?

• x=3, x=-2

• x=3, x=2

• x=-3, x=-2

• x=-3, x=2

What is the horizontal asymptote of f(x)=(3x²+7)/(x²-2x-3)?

• y=⅓

• y=0

• None

• y=3

What are the x and y intercepts of the following rational function? f(x)=(3x²+2x-4)/(x²+7)

• X-int: x=(-1±13√4)/3 Y-int: y=-4/7

• X-int: x=(-1±√13)/3 Y-int: y=-7/4

• X-int: x=(-1±√13)/3 Y-int: y=-4/7

• X-int: x=-4/7 Y-int: y=(-1±√13)/3