Polynomials End Behavior and Zeros

Determine the end behavior of the polynomial function.

• Up left, up right

• Down left, down right

• Up left, down right

• Down left, up right

What could be the equation of the polynomial function shown in this graph?

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Determine the end behavior of the polynomial function.

• Up left, up right

• Down left, down right

• Up left, down right

• Down left, up right

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

Which zero will "bounce" off of/touch the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3

Find all zeros of g(x) = x^4 - 5x^2 + 4.

• x = -4, -2 , 1, 2

• x = -2, -1 , 1, 2

• x = -1, 0 , 1, 4

• x = -1, 1 , 2, 4

Which choice is correct?

• This function has and even degree

• This function has a negative leading coefficient

• This function has a zero at 1.

• The zero at −2 has even multiplicity.

Which zero will "bounce" off of the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3

Find all zeros of f(x) = 2x^3 + x^2 - 2x - 1.

• x = -1/2, -1 , 1

• x = -3, -1 , 1

• x = -1, 1/2 , 1

• x = -1, 1 , 2

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.