Polynomial Characteristics Check

Is the leading coefficient for the polynomial shown positive or negative?

• Negative

• Positive

• Cannot be determined

How many extrema (maxes and mins) are in the picture?

• 2

• 3

• 4

• 5

Pick all statements that apply to this polynomial.

• It is an odd degree function.

• It is an even degree function.

• It has a positive leading coefficient.

• It has a negative leading coefficient.

• It has 3 real roots.

Select all statements that apply to this graphed polynomial...

• The domain is (-∞,+∞)

• The range is (-∞,+∞)

• The range is [-4,+∞)

• There is a double root at 2

• There are 1 local minimum, 1 absolute minimum and 1 local maximum

Match the following for the polynomial: y = x³ + 5x² + 4x - 7

• 2

• constant/y-intercept

• 3

• degree

• 4

• real solutions

• 1

• number of terms

• -6

• imaginary solutions

x² + 2x³ - 6

• cubic trinomial

• the name of this polynomial is

• is the leading term

• the constant term is

• 2

• 
• -6

• the degree of the polynomial is

• 3

• the leading coefficient is

Is the leading coefficient for the polynomial in the image positive or negative?

• Negative

• Positive

• Cannot be determined

The function has x-intercepts located at...

• -2 and 3

• -2, -1 and 3

• 2 and -3

• 2 and 0

The function is increasing when...

• (-∞, -1.5) and (1.5, ∞)

• (-1.5, 1.5)

• (0, 1.5)

• (0, ∞)

The function is decreasing when...

• (-1.5, 1.5)

• (-∞, -1.5)

• (1.5, ∞)

• (-1.5, 2)