Domain, Range and End Behavior of a Restricted Function

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞

• x → ∞, y→ ∞ and x→⁻∞, y→∞

• x → ∞, y→ ∞ and x→⁻∞, y→ 0

• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

What is the RANGE?

• {-3, 3]

• all real numbers

• [-4, 5]

• [-4, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the DOMAIN?

• (4, ∞)

• (-4, ∞)

• [-3, 3)

• (-3, 3]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the RANGE?

• (-∞, 0)

• (0, ∞)

• All real numbers

• {0, 1, 2, 3, 4,...}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the Domain?

• -3 ≤ x < 5

• -3 ≤ y < 5

• -8 ≤ x < 5

• -8 ≤ y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased.  If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

• {4, 5, 6, 7}

• 4 ≤ x ≤ 7

• 72.55 ≤ c ≤ 123.50

• {72.55, 89.50, 106.45, 123.40}

This graph has a Restricted Domain. What is it?

• [0, 2]

• [taco, tuesday]

• -4, 6

• (0,2)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

This graph has a Semi- Restricted Domain because it has an end point on one side only, and it's infinite on the right side (notice the arrow). What is the Domain?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Look at the graph; because the domain is semi-restricted the Range will also be semi-restricted. This means it has only one end point and it's infinite on the other side. What is the Range? Hint: for the range you look at the bottom of the graph and that's the first value you write, and then you look at the top of the graph and that's the second value you write.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5