1). Determine the graph behavior at the zero(s) of the polynomial function:

f(x)=x^2-6x+9

• A.
• The graph of the function touches the x-axis at and x = 3.
• B.
• The graph of the function crosses the x-axis at and x = 3.
• C.
• The graph of the function touches the x-axis at x = 3.
• D.
• The graph of the function crosses the x-axis at .

2). Use Descartes's Rule of Signs to describe the real zeroes of the function :

f(x)=2x^5-x^4-2x^3+4x^2+x-2

• A.
• The function has two or zero positive real zeroes and either three or one negative real zeroes.
• B.
• The function has two or zero negative real zeroes and either three or one positive real zeroes.
• C.
• The function has one positive real zeroes and either four or two negative real zeroes.
• D.
• The function has one negative real zeroes and either four or two positive real zeroes.

3). Use the Intermediate Value Theorem to choose an interval over which the function, f(x)=-2x^3-3x+5, is guaranteed to have a zero.

• A.
• [-3,-2]
• B.
• [-2,0]
• C.
• [0,2]
• D.
• [2,4]

4). Use the Rational Zero Theorem to select the values that are possible zeroes of the function, f(x)=6x^3-2x^2+x+3. Select all the apply.

• A.
• -3
• B.
• -2/3
• C.
• 3/2
• D.
• 6