Graphing Rational Functions

Graphing Rational Functions

 $f\left(x\right)=\frac{1}{x}$  

Multiple Choice

What type of variation does the x and y show?

• direct variation

• inverse variation

• neither

• undefined

Multiple Choice

What type of variation does the x and y show?

• direct variation

• inverse variation

• neither

• undefined

Multiple Choice

The variables x and y vary inversely, and y = 6 when x = 6. Using the general form y=a/x, what is the a value?

• a = 36

• a = 12

• a = 6

• a = 3

Multiple Choice

The variables x and y vary inversely, and y = 6 when x = 6. Write an equation that relates x and y.

• $y=\frac{36}{x}$
  

• $y=\frac{12}{x}$
  

• $y=\frac{6}{x}$
  

• $y=\frac{3}{x}$
  

Multiple Choice

The variables x and y vary inversely, and y = 6 when x = 6. Find y when x = -4.

• y = -6

• y = -4

• y = -9

• y = 6

Multiple Select

Which is true about the graph of g(x) = 6/x when you compare it with the graph of f(x) = 1/x?

• The asymptotes are x = 0 and y= 0.

• (-2, -3) (-1, -6) (1, 6) (2, 3) are points on the graph

• Graphs lie in the first and the third quadrants.

• The graph of g lies farther from the axes than the graph of f

Multiple Select

Which is true about the graph of g(x) = -6/x when you compare it with the graph of f(x) = 1/x?

• The asymptotes are x = 0 and y= 0.

• (-2, -3) (-1, -6) (1, 6) (2, 3) are points on the graph

• Graphs lie in the first and the third quadrants.

• The graph of g lies farther from the axes than the graph of f

Multiple Select

Which is true about the graph of the given function?

• The asymptotes are x = 1 and y= 3.

• (-1, 4) (0, 5) (2, 1) (3, 2) are points on the graph

• The domain is all real numbers except 1.

• The range is all real numbers except -3

Multiple Select

Which is true about the graph of the given function?

• The asymptotes are x = 0 and y= 2.

• (-3, -3) (-1, -5) (1, 1) (3, -1) are points on the graph

• The domain is all real numbers except 0.

• The range is all real numbers except 2

Multiple Select

Which is true about the graph of the given function?

• The asymptotes are x = -4 and y= 0.

• (-5, 1) (-3, -1)(-1, -1/3) are points on the graph

• The domain is all real numbers except 4.

• The domain is all real numbers except -4

• The range is all real numbers except 0