Unit 2 Review

Solve the inequality. Write your solution in interval notation.

Solve the inequality. Write your solution in interval notation.

Real zero(s) of f(x)

Nonreal zero(s) of f(x):

x-intercept(s) of f(x) as a coordinate pair:

Product of linear factors of f(x):

State the coordinate of the hole. If there is none, then write none.

Select the vertical asymptotes for f(x).

State the End Behavior Asymptote of f(x):

State the coordinate of the x-intercept. If there is none, then write none.

State the coordinate of the y-intercept. If there is none, then write none.

Graph the rational function f(x). Use Desmos to show any asymptotes as dotted lines, holes, an intercepts

State the coordinate of the hole. If there is none, then write none.

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

State the End Behavior Asymptote of f(x) as an equation:

State the coordinate(s) of the x-intercept(s). If there is none, then write none.

_{Note: If there is more than one use a comma to list the coordinates in numerical order.}

State the coordinate of the y-intercept. If there is none, then write none.

Graph the rational function f(x). Use Desmos to show any asymptotes as dotted lines, holes, an intercepts.

Find the values of A, B, C, and D for the cubic function in standard form with the given zeros.

Write the polynomial function in standard for f(x) with the given zeros.

The complex zero 4 - i is a zero of

The function has two imaginary zeros:

If a function has a real zero of 3 and an nonreal zero of 2+4i, then it's quadratic.

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

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

List the real zeros of f(x) in numerical order.

Write the product of linear factors for f(x).

Sketch a graph of f(x). No Desmos allowed; You must sketch by hand using your end behavior and intercepts.

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

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

List the real and then nonreal zeros of f(x) in numerical order.

What is the coordinate of the y-intercept?

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

_{Note: Put the quadratic factor last.}

Sketch a graph of f(x). No Desmos allowed; You must sketch by hand using your end behavior and intercepts.