Degree and Multiplicity

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

What is the degree of the function graphed here?

• 2

• 3

• 4

• 5

Find the choice that is correct

• The leading coefficient is 2, the degree is 4

• The leading coefficient is 3, the degree is 2

• The leading coefficient is 3, the degree is 4

• The leading coefficient is 2, the degree is 2.

Find the correct statement about the zeros.

• −5 is a zero with multiplicity 1

• −5 is a zero with multiplicity 2

• −2 is a zero with multiplicity 1

• 2 is a zero with multiplicity 2

Find the incorrect statement

• The degree of this function is 5

• There is a zero at 3 with multiplicity 2

• The graph crosses the x-axis at −2

• The limit as x approaches -∞ is ∞

Which function has zeros: x=0, x=5(multiplicity of 3) and x=-6.

• f(x) = 9x(x + 5)³(x - 6)

• f(x) = 3(x - 5)³(x + 6)

• f(x) = -7x(x - 5)³(x + 6)

• f(x) = (x - 3)(x - 5)(x + 6)

Which function might have the given graph?

• f(x) = (x - 6)(x + 4)²

• f(x) = (x - 6)²(x + 4)

• f(x) = (x + 6)²(x - 4)

• f(x) = x(x - 6)(x + 4)

Which choice is correct?

• This function has an even degree

• This function has a negative leading coefficient

• This function has a zero at 1.

• The zero at −2 has even multiplicity.

If the there is a turning point on the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

Classify the function:

• quadratic

• cubic 

• quartic

• linear