Functions with Domain and Range

​Functions Continued with Domain and Range

By Leigh Moore

Multiple Choice

Is the relation a function? Why?

• Yes, because the x-value 11 has two y-values paired with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values paired with it.

• No, because each x-value has only one y-value paired with it.

Multiple Choice

f(x) is the same thing as ______.

• y

• x

• input

• an equation

Multiple Choice

If f(x) = 3x - 9, find f(5).

• f(5) = 6

• f(5) = 16

• f(5) = -4

• f(5) = 24

Multiple Choice

What point is represented by g(7) = 14 ?

• (2,7)

• (7,2)

• (14,7)

• (7,14)

Math Response

If g(x) = 6(-8x + 12) + 7, what is the value of g(6)?

Type answer here

Correct Answer: -209

Deg^°

Rad

Multiple Choice

Solve for f(x) = 10

9x + 1 = f(x)

• 1

• 10

• 12

• 11

Multiple Choice

Given the function, f, shown on the graph, what is the value of f(3)?

• 0

• 2

• 6

• 1

Multiple Choice

Find f(2)

• 5

• 4

• 3

• 0

Multiple Choice

• max is 4 at x = 0
• max is 4 at x = 3
• max is 3 at x = 5
• No maximum

With a partner, complete the missing columns using the given information.

​Let's Review...

How do we use inputs and outputs to graph?

What is Domain and Range?

What is Domain and Range?

How do we find domain and range from continuous graphs?

Now you try....

Now you try....

Multiple Choice

What is the range?

• {-3, -1, 2, 4}
• {0, 4, 7} 
• {0, 4, 4, 7}
• {7, 4, 0}

Multiple Choice

What is the domain?

• all real numbers
• 1<x<6
• {1,3,4,6}
• {-2,2,5}

Multiple Choice

What is the Domain?

• {-3, -1, 1, 3, 5, 7, 9}
• {-3, -2, -1, 0, 1, 2, 3}
• -3 ≤ x ≤ 3
• -3 ≤ x ≤ 9

Multiple Choice

What is the domain of the graph shown?

• {-2, -1, 0, 1, 2, 3, 4}

• {2, 3, 4}

• 2 ≤ y ≤ 4

• -2 ≤ x ≤ 4

Multiple Choice

What is the domain of the graph?

Multiple Choice

What is the RANGE?

• -1 ≤ x ≤ 4

• -1 ≤ y ≤ 4

• -3 ≤ x ≤ 5

• -3 ≤ y ≤ 5

Multiple Choice

What is the DOMAIN?

• -2 ≤ x ≤ 3

• -2 < x ≤ 3

• -2 ≤ x < 3

• -2 < x < 3

Multiple Choice

What is the DOMAIN?

• x ≤ 2

• x ≥ 2

• All Real Numbers

• -2 ≤ x ≤ 2

Multiple Choice

What is the range of the graph?

• (-∞,∞)
• [-1,0]
• [-1,3]
• [3,∞)

Multiple Choice

What is the domain?

• $$\left(\infty,-2\right]$$
  

• $$\left[-2,\ \infty\right)$$

  
  

• [-2,3]

• $$\left(-\infty,\ -2\right]$$

• None of the answer choices

Multiple Choice

What is the RANGE?

• y ≤ 2

• y ≥ 2

• All Real Numbers

• -2 ≤ y ≤ 2