Domain and Range

What is the range of the graph?
Remember: Range is y! 

• 1 ≤ x ≤ 5
• 1 < x < 5
• 1 ≤ y ≤ 5
• 1 < y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the graph?
Remember:  Domain is x

• 1≤ x ≤ 4
• 1 < x < 4
• 1≤ y ≤ 4
• 1 < y < 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Does the graph represent a function?
If you have an x value that has 2 "y" values it is NOT a function! 

• Yes, because the vertical line test shows there are no repeating input values
• No, because the vertical line test shows there are repeating input values

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

All of the y values or outputs are called what?

• Domain
• Range

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

All of the x values or inputs are called what?

• Domain
• Range

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
Range is the y values 
(x,y)

• -4, 4, 8, 9
• -2, 3, 8, 10
• (9, -2) ( 4, 3)
• (8, 10) (-4, 8)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

What is the range?
Remember range is the "y" values (up and down) 
And an open circle means it DOES NOT equal that number - use < and >
Only use ≤ and ≥ with a closed circle. 

• -4 < x ≤ 5
• -4 ≤ x < 5
• -3 < y < 3
• -3 ≤ y ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the DOMAIN of this graph? 
Remember:  DOMAIN is the x from left to right. 

• x < -3
• x ≤ -3
• x > -3
• x ≥ -3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

  The blue function is the parent function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3