Exploring Polynomial Function Graphs

What are critical points in a polynomial function?

• Points where the function has a maximum or minimum

• Points where the function has a horizontal tangent

• Points where the function is undefined

• Points where the function crosses the y-axis

What is the domain of a polynomial function that extends left and right forever?

• From negative one to positive one

• From negative infinity to zero

• From zero to positive infinity

• From negative infinity to positive infinity

How do you determine the range of a polynomial function that goes down forever but not up forever?

• From negative infinity to zero

• From zero to the highest y-value

• From negative infinity to the highest y-value

• From the highest y-value to positive infinity

What does it indicate if both ends of a polynomial graph go down?

• The polynomial has an even degree with a positive leading coefficient

• The polynomial has an even degree with a negative leading coefficient

• The polynomial has a positive leading coefficient

• The polynomial has an odd degree

How do you write a relative maximum or minimum?

• As the x-coordinate at the y-coordinate

• As the y-coordinate at the x-coordinate

• As the x-coordinate only

• As the y-coordinate only

What are the zeros of a polynomial function?

• Points where the function is undefined

• Points where the function crosses the y-axis

• Points where the function has a horizontal tangent

• Points where the function crosses the x-axis

How do you determine intervals of increase in a polynomial function?

• By looking at the intercepts

• By looking at the y-values

• By looking at the x-values

• By looking at the zeros

What does it mean if a function is positive?

• The function is above the x-axis

• The function is below the x-axis

• The function is increasing

• The function is decreasing

What is the interval notation for a function that is positive between x = -6 and x = -2?

• [-6, -2]

• (-6, -2)

• [-6, -2)

• (-6, -2]

How do you identify intervals where the function is negative?

• By looking at the intercepts

• By looking at the x-values

• By looking at the y-values

• By looking at the zeros