Characteristics of Polynomial Graphs

​Learning Target: I can graph the key features of a polynomial from a given function .

E.Q:  How does the degree determine the end behaviors of a graph?

• Be sure to watch video and take notes on your paper then use them to answer the questions in the quizizz.

Learning Target: I can graph the key features of a polynomial from a given function .

E.Q:  How does the degree determine the end behaviors of a graph?

Label the key features on your notes paper​

Multiple Select

What are the x-intercepts of the graph?

Choose all that apply

• x=-6

• x=1

• x=2

• x=-3

Multiple Choice

What are the x and y intercepts of the graph? 

• x-intercepts = -2, 1, 3
  y-intercept = 3

• x-intercepts = 2, -1, -3
  y-intercept = 3

• x-intercepts = -2, 1, 3
  y-intercept = -2

• x-intercepts = -2, 1, 3
  y-intercept = -2

Multiple Choice

How many real zeros does the function have?

• None
• 2
• 3
• 4

Learning Target: I can graph the key features of a polynomial from a given function .

E.Q:  How does the degree determine the end behaviors of a graph?

Multiple Choice

Describe the end behavior of the graph.

• up, up

• down, down

• up, down

• down, up

Multiple Choice

What is the end behavior of the following graph

f(x) = 3x² + 5x - 9

Multiple Choice

What is the end behavior of the following graph

f(x) = -3x² - 5x + 12

Multiple Choice

What is the end behavior of the following graph

f(x) = -3x⁵ + 5x⁴ - 7x³ + 2x - 12

Multiple Choice

What is the end behavior of the following graph

f(x) = 7x³ + 2x - 12

Multiple Select

Select all the even degree functions.

• A

• B

• C

• D

Multiple Select

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Multiple Choice

Choose the best equation to match the graph. 

• $$y=\left(x-2\right)\left(x-4\right)\left(x-8\right)$$

• $$y=-\left(x-2\right)\left(x-4\right)\left(x-8\right)$$

• $$y=\left(x+2\right)\left(x+4\right)\left(x+8\right)$$

• $$y=-\left(x+2\right)\left(x+4\right)\left(x+8\right)$$

Multiple Choice

• $$y=x^2\left(x-6\right)$$

• $$y=x\left(x-6\right)$$

• $$y=\left(x-6\right)^2$$

• $$y=x\left(x+6\right)$$

Multiple Choice

Is the leading coefficient positive or negative

• positive
• negative

Multiple Choice

Is this function even or odd?

• even
• odd

Multiple Choice

• $$y=-20\left(x+2\right)^2\left(x-5\right)$$  

• $$y=-20\left(x+2\right)\left(x-5\right)$$  

• $$y=\left(x+2\right)^2\left(x-5\right)$$  

• $$y=\left(x+2\right)\left(x-5\right)$$  

Multiple Choice

• $$y=\left(x+2\right)\left(x-1\right)^2$$

• $$y=-\left(x+2\right)^2\left(x-1\right)$$

• $$y=\left(x+2\right)^2\left(x-1\right)$$

• $$y=-\left(x+2\right)\left(x-1\right)^2$$

Multiple Choice

Even multiplicities on a factor of a polynomial create a graph that............

• Touches or bounces like a ball off the y-axis.

• Touches or bounces like a ball off the x-axis.

• Crosses or passes through the y-axis

• Crosses or passes through the x-axis

Multiple Select

Select 2 of the 4 graphs below that are based on an even degree polynomial?

Multiple Choice

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)