Algebra Zeros of Functions

Identify the zeros of the function

f(x)= -2x - 6

Tags

CCSS.HSF-IF.C.7D

What is the x-intercept ?

• (0,3)

• (3,0)

What are the x- and y -intercepts on this graph?

• (0,5), (0,5)

• (5,0), (5,0)

• (5,0), (0,5)

• (0,0), (5,0)

Which function represents the values in the table?

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• Passes: (-6,0)

  Touches:(0,0)

• Passes:(6,0)

  Touches:(0,0)

• Passes: (0,0) Touches:(6,0)

• Passes:(0,0)

  Touches(-6,0)

Answer explanation

1.) Factor the equation

2.) Solve for x

3.) Graph crosses at (0,0) and touches at (6,0)

-If degree number is odd then graph crosses x-value

-If degree number is even than graph touches x-value

Tags

CCSS.HSA.APR.B.3

• x= -4

  x= -3

  x= 5

• x= -5

  x= -4

  x= -3

• x= -3

  x= 4

  x= 5

• x= -4

  x= 3

  x= 5

Answer explanation

1.) List possible zeros

2.) Use synthetic divison, if final value is zero then number is a zero

3.)Factor quotient from synetic division

• x=-1

• x=-1

  x=2+i

  x=2-i

• x=1

• x=-1

  x=5+i

  x=5-i

Answer explanation

1.)List possible zeros

2.)Use synethic divison

2.)Use quadratic formula on quotient

Theorem of Algebra: Solve for third degree polynomial function with zeros of -2, 3i, -3i.

Answer explanation

1.)Write zeros into equations

2.)Multiply complex numbers first

3.) FOIL method

4.) Simplify

Tags

CCSS.HSA.APR.B.3

• 1

• -4

• -2

• -3

Tags

CCSS.HSF-IF.C.7C

• {-1, 6}

• {1, 3}

• {-1, -3}

• {-1, 3}