Write and Graph Reciprocal Functions

9COS

Multiple Choice

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Multiple Choice

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

Multiple Choice

• linear

• quadratic

• absolute value

• inverse

Multiple Choice

Which equation generates this graph?

• y=(x-1)³+1

• y=(x+1)³+1

• y=2(x+1)³+1

• y=2(x+1)³+1

Multiple Choice

What is the standard form of a CUBIC function?

• $$y=ax^3+bx^2+cx+d$$

• $$y=mx+b$$

• $$y=ax^2+bx+c$$

• $$y=b\left(r\right)^x$$

Multiple Choice

Which of these represents a CUBIC function?

Multiple Choice

Solve the following quadratic equation...

x² + 7x + 12 = 0

• x = -2

  x = -6

• x = -3

  x = -4

• x = -1

  x = -12

• x = 2

  x = 6

Multiple Choice

Solve the following quadratic equation...

x² + 9x + 20 = 0

• x = -2

  x = -10

• x = -5

  x = -4

• x = -1

  x = -20

• x = 4

  x = 5

Multiple Choice

Solve the following quadratic equation...

x² + 3x + 2 = 0

• x = -1

  x = -2

• x = 1

  x = 2

• x = -1

  x = 2

• x = 1

  x = -2

Multiple Choice

Which of the following could be the graph of $$y=-\frac{2}{x}$$  

Multiple Choice

Which of the following could be the graph of $$y=\frac{2}{x}$$  

Multiple Choice

Which of the following could be a graph of $$y=3x^3$$ ?

Multiple Choice

Which of the following could be the graph of $$y=-5x^3$$  

Multiple Choice

Factorise the expression:

x² - 16

• (x - 4)²

• (x - 2)(x + 8)

• (x + 4)(x - 4)

• (x - 4)(x - 4)

Multiple Choice

Factorise the expression:

x² - 6x - 27

• (x - 9)(x - 3)

• (x - 9)(x + 3)

• (x - 3)(x + 9)

• (x + 3)(x + 9)

Multiple Choice

Factorise the expression:

x² + 5x + 6

• (x + 3)(x + 2)

• (x + 2)(x - 3)

• (x + 5)(x + 1)

• (x - 2)(x - 3)

Multiple Choice

   6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Multiple Choice

Factorise 4x + 14

• 2(2x+7)
• 4(x+10)
• 4(x+3)
• 2(x+12)

Multiple Choice

Factorise 8x + 12

• 4(x+2)
• 8(x+4)
• 4(x+3)
• 4(2x+3)

Multiple Choice

What is this graph?

• linear
• quadratic
• exponential
• cubic

Multiple Choice

What type of graph is this?

• Linear

• Quadratic

• Cubic

• Reciprocal

Multiple Choice

What type of graph is this?

• Linear

• Quadratic

• Cubic

• Reciprocal

Multiple Choice

What type of graph is this?

• Linear

• Quadratic

• Cubic

• Reciprocal

Multiple Choice

What function is this graph?

• Absolute Value

• Quadratic (parabola)

• Cubic

• Linear

Multiple Choice

Which graph is generated by this equation?

y=(x+1)³

Multiple Choice

Choose the correct function that represents this graph.

• f(x) = x²

• f(x) = x³

• f(x) = 1/x²

• f(x) = ∛x

Multiple Choice

What type of graph is this?

• Cubic

• Reciprocal Squared

• Cube Root

• Absolute Value