Algebra of Functions

What rule represents the accompanying piecewise function, f(x)?

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• 
• 

Tags

CCSS.HSF-IF.C.7B

What is the value of f(0)?

• -2

• 4

• 0

• -6

Tags

CCSS.HSF.IF.A.2

Which color line could represent the parent function, f(x), being vertically translated two units down and horizontally translated four units left?

• Red

• Black

• Pink

• Green

What best describes the transformation shown in t(x)?

• Vertical Stretch with k = 5

• Vertical Compression with k = (1/5)

• Horizontal Compression with k = (1/5)

• Horizontal Stretch with k = 5

Tags

CCSS.HSF.BF.B.3

What is the range of the graph?

• {x| x ≥ 2 }

• {y| y ≥ 2 }

• {x| x = ℝ}

• {y| y = ℝ}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the name of the parent function and equation for the graph?

• Cube Root - y = ∛x

• Cubic - y = x³

• Exponential - y = 2^x

• Rational/Inverse - y = 1/x

Tags

CCSS.HSF-IF.C.7D

What is the name of the parent function and equation for the graph?

• Rational - y = 1/x

• Absolute Value - y = |x|

• Linear - y = x

• Quadratic - y = x²

Identify the transformation of the equation.

• Reflect/Left 1/Down 8

• Left 1 /Down 8

• Right 1/Down 8

• Reflect/Right 1/ Down 8

Identify the transformation of the equation.

• Reflect/Left 5/Down 2

• Reflect/Right 5/Up 2

• Reflect/Right 2/ Down 5

• RIght 5/Up 2

The zero(s) of the function are where the function crosses ____________.

• the x-axis

• the y-axis

• the origin

• the 1st quadrant

Tags

CCSS.HSF-IF.C.7D