Functions and Their Graphs

Which equation corresponds to the graph below.

Given the equation below determine the asymptote.

• (0, 1)

• (0, 3)

• x= 0

• y = 0

• y = 4

• y = 2

• y = 3

Identify which functions are exponential.

• f(x) = 2x - 5

• g(x) = 3^x

• k(x) = 3x⁴ - 6x + 9

Sketch the graph of each function.

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• 
• 
• 

Find the interval(s) of increase of the graph shown.

• (-6, -4)

• (-4, -2)

• (-2, 2)

• (2, 5)

• (5, 6)

The graph of the rational function is shown to the left. What is the equation that represents this function?

What are the restrictions on the domain of the following function?

Where is there a hole (point or removable discontinuity) in the graph of the following function?

Find the horizontal asymptote for the following function.

• no horizontal asymptote