Key Features of Equations/Sketching Graphs

What is the domain and range of the following function:
y = 3x² -6x +5

• Domain: All Real Numbers
  Range:  $y\le-2$  

• Domain: All Real Numbers
  Range:  $y\ge-2$  

• Domain: All Real Numbers
  Range:  $y\ge2$  

• Domain: All Real Numbers
  Range:  $y\le2$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

Which function has this end behavior?

• -x²-3x+1
• -x³+2x²+3
• x⁴+3x³-4x+1
• x⁵-4x⁴+2x²-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function has this end behavior?

• -1x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Tags

CCSS.HSA.APR.A.1

Find the domain and range of the function:
f(x) = 7x - 1

• D: (-∞, ∞)
  R: (-∞, 0)
• D: [-∞, ∞]
  R: [-∞, ∞]
• D: (-∞, ∞)
  R: (0, ∞)
• D: (-∞, ∞)
  R: (-∞, ∞)

Find the domain and range of the function:
g(x) = - (x + 3)² + 1

• D: (-∞, ∞)
  R: (-∞, 1]
• D: (-∞, ∞)
  R: [1, ∞)
• D: [-3, ∞)
  R: (-∞, ∞]
• D: [-3, ∞)
  R: (-∞, 1]

Identify the x-intercepts:
y= -3(x-5)(x+5)

• (-5,0)(5,0)
• (5,0)(-5,0)
• (5,0)(0,5)
• (0,5)(0,-5)

Identify the Range

• (- ∞, -2 ]
• [ -2, ∞ )
• All Real Numbers
• [ 0, ∞)

Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞)  Range: [-∞, 4]
• Domain: [1, ∞)  Range: (-∞, 4]
• Domain: [-1. ∞) Range: [4, ∞) 
• Domain: [4, ∞) Range: [-1,∞)