Graphing Rational Functions

Which function has a vertical asymptote at x = − 4 and a horizontal asymptote at y = 2?

Tags

CCSS.HSF-IF.C.7D

• Shift the graph of f(x) 5 units to the left and 3 units up.

• Shift the graph of f(x) 5 units to the left and 3 units down.

• Shift the graph of f(x) 5 units to the right and 3 units up.

• Shift the graph of f(x) 5 units to the right and 3 units down.

Tags

CCSS.HSF-IF.C.7D

• The function f(x) is vertically stretched to obtain the graph of g(x).

• The function f(x) is horizontally stretched to obtain the graph of g(x).

• The function f(x) is shifted vertically to obtain the graph of g(x).

• The function f(x) is shifted horizontally to obtain the graph of g(x).

Tags

CCSS.HSF.BF.B.3

Which function has vertical asymptotes at x = –2 and x = 3 and a y-intercept of (0, –1)?

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSF-IF.C.7A

• The function f(x) has no asymptotes.

• The vertical asymptote is the line x = 8. The horizontal asymptote is the line y = 8.

• The vertical asymptote is the line y = 0. The horizontal asymptote is the line x = 0.

• The vertical asymptote is the line x = 0. The horizontal asymptote is the line y = 0.

Tags

CCSS.HSF-IF.C.7D

Which function(s) have a removable discontinuity? Select all that apply.

Tags

CCSS.HSF-IF.C.7D

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF-IF.C.7E

Which statement about an extraneous solution is not correct? Select all that apply

• It comes from correct solution steps and is a valid solution of the equation.

• It comes from correct solution steps and is not a valid solution of the equation.

• . It comes from incorrect solution steps and is a valid solution of the equation.

• It comes from incorrect solution steps and is not a valid solution of the equation.

Tags

CCSS.HSA.REI.A.2