Linearity, Extrema, and End Behavior

• Slope

• Domain & Range

• X & Y Intercepts

• End Behavior

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​Key Features of a Function

Multiple Choice

What is the domain of the function shown?

• $$-3<x<4$$

• $$-3>x>4$$

• $$-3\le x\le4$$

• $$1\le x\le8$$

Dropdown

The range of the function shown is ​

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​ ​

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​ ​

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Graphing

Graph the following equation:

y = 2x - 4

​The end behavior of a function’s graph is the behavior of the graph as x approaches positive infinity (+∞) or negative infinity (−∞).

Multiple Choice

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ -∞ and
  x→⁻∞, y→∞

• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Multiple Choice

What is the end behavior of the function

•  x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
•  x →∞, y→∞ and x→⁻∞, y→0
• x →∞,y→∞ and x→⁻∞, y→⁻∞

Multiple Choice

What is the end behavior of the function

•  x →∞, y→∞ and x→∞, y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
•  x →∞, y→∞ and x→⁻∞, y→0
•  x →∞,y→∞and x→⁻∞, y→⁻∞

Multiple Choice

Find the y-intercept

3x + y = 5

• (-3, 0)

• (0,5)

• (5, 0)

• (0, -3)

Multiple Choice

Find the x-intercept

3x + 8y = 24

• (8, 0)

• (0, 8)

• (3, 0)

• (0, 3)

Hotspot

Where is the y-intercept?

Hotspot

Where is the x-intercept?

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