Cubics

Which of the following is the equation for the cubic function graphed above

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

The graph of a function is shown.  What are the domain and range of this function?

• Domain: (-∞, ∞)
  Range: (-∞, 2]

• Domain: [2, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, 2]
  Range: [2, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis

• 3 units right, 2 units up, reflected across the x-axis

• 3 units left, 2 units up, reflected across the y-axis

• 3 units left, 2 units up, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

What is the factored form for the following cubic function?

• 2x(x - 3)(x - 4)

• x(x + 3)(x + 4)

• x(x - 3)(x + 4)

• (x + 3)(x - 3)(x - 4)

Tags

CCSS.HSA.APR.B.3

• The end behavior of the graph is x →∞, f(x)→∞ and x→∞, f(x)→⁻∞

• The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→∞

• The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→0

• The end behavior of the graph is x →∞,f(x)→∞and x→⁻∞, f(x)→⁻∞

What could be the equation for this graph?

• y = -2x³ + 1x + 3

• y = (x - 2)(x + 1)(x + 3)

• y = (x + 2)(x - 1)(x - 3)

• y = -2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

Describe the transformation of the graph y = -2(x + 5)³

• Vertical compression by 2, Reflected over y-axis, Right 5

• Vertical stretch by 2, Reflected over x-axis, Left 5

• Vertical stretch by 2, Reflected over x-axis, Right 5

• Vertical compression by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

What is the standard form of a CUBIC function?

Which of these represents a CUBIC function?

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• 
• 
•