Graphing Polynomials in Factored Form

What is the leading coefficient?

f(x)= -5(x+3)²(x-1)(x+5)

Is it + or - ?

What is the leading coefficient?

f(x)=(x+5)(x+1)(x-3)

Is it + or - ?

What is the leading coefficient?

f(x)= -x(x+1)²(x-5)

Is it + or - ?

What is the degree of the polynomial?

f(x)= -5(x+3)²(x-1)(x+5)

Is it EVEN or ODD?

What is the degree of the polynomial?

f(x)= (x+5)(x+1)(x-3)

Is it EVEN or ODD?

What is the degree of the polynomial?

f(x)= -x(x+1)²(x-5)

Is it EVEN or ODD?

What is the end behavior of the following graph

f(x)= -5(x+3)²(x-1)(x+5)

Is the leading coefficient + or - ?

Is the degree EVEN or ODD?

What is the end behavior of the following graph

f(x) =(x+5)(x+1)(x-3)

Is the leading coefficient + or - ?

Is the degree EVEN or ODD?

What is the end behavior of the following graph

f(x) = -x²(x+1)²(x-5)

Is the leading coefficient + or - ?

Is the degree EVEN or ODD?

What is the end behavior of the following graph

f(x) = 7x³ + 2x - 12

Learning Target Check In

 I can identify key features including end behavior

What is the leading coefficient?

What is the degree?

What is the y-intercept?

What are the x-intercept?

Choose all that apply

Does it bounce or cross at x=4?

Which x-intercept bounces?

Choose all that apply

Write the equation to the graph in factored form.

Click all factors that apply

What is the degree?

2.) f(x)= -(x+4)²(x-2)²

LEADING COEFFICIENT: + or -

DEGREE: Even or Odd

2.) f(x)= -(x+4)²(x-2)²

What is the end behavior of the following graph?

2.) f(x)= -(x+4)²(x-2)²

What is the y-intercept?

Choose the picture that describe your feeling about finding the y-intercept

2.) f(x)= -(x+4)²(x-2)²

What are the x-intercept?

Choose all that apply

2.) f(x)= -(x+4)²(x-2)²

Does the x-intercept x=-4

bounce or cross the x-axis?

2.) f(x)= -(x+4)²(x-2)²

Does the x-intercept x=2

bounce or cross the x-axis?

Did you graph it correctly?

Learning Target Check In

 I can graph polynomial functions and identify key features including zeros(x-intercepts), y-intercepts & end behavior