Functions How Are They Changing

Lily, Michael, and Benjamin are studying rational functions in their math class. Their teacher asks them to identify an asymptote in a rational function. How would they describe it?

• A point where the graph changes direction.

• A line that the graph approaches but never touches.

• A line that the graph intersects at multiple points.

• A line that the graph touches at one point.

Tags

PC.F.4.5 

Choose the correct graph that matches with the equation.

• A

• B

• C

• D

Tags

PC.F.4.5 

Select all the following statements that are true.

• Vertical asymptote at x=1

• Vertical asymptote at x=0

• No vertical asymptote

• Hole at (-1, 0)

• Hole at (1, -1)

Tags

PC.F.4.5 

The table below shows some of the values for the linear function f.

Let g be the linear function defined by g(x) = 4x + 5.

Which statement is true?

• The graph of f has a greater slope than the graph of g.

• The graph of g has a greater slope than the graph of f.

• The graph of f has the same slope as the graph of g.

• The slopes of the graphs of f and g are undefined.

The graph of r(x) is a​ ​ (a)   ​by the graph of f(x) by a factor of ​ ​ (b)   .

• horizontal stretch

• horizontal shrink

• vertical stretch

• vertical shrink

• 1/3

• 3

• 2/3

Mathematical Equivalence

ON

Tags

F.BF.3

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

The image shows a ​ (a)   translation ​ (b)   units ​ (c)  

• horizontal

• 4

• left

• vertical

• right

• 3

• up

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

The graph of g(x) is a
(a)   translation ​ (b)   units ​ ​ (c)   the graph.

• vertical

• 2

• 1

• up

• down

• left

• right