Exploring Graphing Polynomial Functions

What is a zero in a graph?

• A point where the graph reaches its minimum

• A point where the graph reaches its maximum

• A point where the graph crosses the x-axis

• A point where the graph crosses the y-axis

What does multiplicity of 2 indicate?

• The graph crosses the x-axis at two points

• The graph bounces off the x-axis

• The graph has two maximum points

• The graph has two minimum points

Which of the following is an odd function?

• x^6

• x^2

• x^3

• x^4

How can you determine if a function is positive?

• By looking at the right arrow of the graph

• By counting the number of zeros

• By checking the multiplicity

• By looking at the left arrow of the graph

What does it mean if the right arrow of a graph is pointing down?

• The function is odd

• The function is positive

• The function is negative

• The function is even

What does f(x) represent in end behavior analysis?

• The intercept of the graph

• The y-coordinate

• The slope of the graph

• The x-coordinate

As x approaches positive infinity, what does it mean if the graph goes up?

• The end behavior is negative infinity

• The end behavior is positive infinity

• The function is odd

• The function is even

In the first example, what are the zeros of the function?

• -3, 0, 2

• -2, 0, 3

• -1, 0, 1

• -4, 0, 4

In the second example, what is the multiplicity of the zero at 3?

• 1

• 4

• 2

• 3

In the third example, what is the end behavior on the left side?

• Positive infinity

• Negative infinity

• Undefined

• Zero