Unit 2 Test C

Solve the inequality. State the solution(s) using interval notation.

Solve the inequality. State the solution(s) using interval notation.

Write the polynomial function f(x) with real coefficients if

f(-3i) = 0 and f(4) = 0.

Which polynomial function has the limit of f(x) as x approaches infinity and negative infinity equal to infinity?

Which of the following polynomials would be the quotient function for f(x).

State the hole for f(x) as a coordinate. If there is not one, then write none.

_{**Note: No decimals. To write a fraction use the back-slash, /, key.}

Select the vertical asymptote(s) of f(x).

State the end behavior asymptote for f(x) as an equation for y.

State the x-intercept for f(x) as a coordinate. If there is not one, then write none.

State the y-intercept for f(x) as a coordinate. If there is not one, then write none.

State the hole for f(x) as a coordinate. If there is not one, then write none.

State the vertical asymptote for f(x) as an equation for x.

State the end behavior asymptote for f(x) as an equation for y.

Select the x-intercepts for f(x).

State the y-intercept for f(x) as a coordinate. If there is not one, then write none.

Graph f(x). Show any asymptotes as dotted lines. You may use Desmos.

If the function has a real zero of -4 with a multiplicity of two and an imaginary zero of 4i, then it has a degree of four.

The imaginary number i is a zero of f(x).

The quotient polynomial of ...

... is an irreducibe quadratic.

What is the limit of f(x) as x approaches positive infinity?

What is the limit of f(x) as x approaches negative infinity?

Select the zero(s) of f(x).

State the y-intercept for f(x) as a coordinate. If there is not one, then write none.

Write f(x) as the product of linear and quadratic factors. _{**Note: Please put the quadratic factor first, then the linear factors.}

Sketch f(x) using its end behavior and intercepts. No Desmos graphs.