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Unit 2 Test C

Last updated over 1 year ago
29 questions
1

Write the polynomial function f(x) with real coefficients if
f(-3i) = 0 and f(4) = 0.

1

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

1

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

1

What is the real zero(s) of f(x)?

1

What are the nonreal zero(s) of f(x)?

1

Write f(x) as a product of linear factors.

1

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.

1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

Select the x-intercepts for f(x).

1

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

1

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

1

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.

1

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

1

The quotient polynomial of ...


... is an irreducibe quadratic.

1

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

1

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

1

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

1

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

1

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

1

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

1

Solve the equation. Check for extraneous solutions.

1

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

1

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