1.

Solve single variable equations, including linear, absolute value,
quadratic, quadratic type, rational, polynomial, radical, exponential,
and logarithmic. (I, II, III)

2.

Use function notation. (I, II,III)

3.

State the domain and range of relations and functions. (I, II, III)

4.

Graph relations and functions. (I, II, III)

5.

Identify the equations of circles and parabolas. (I)

6.

Find the axis if symmetry, vertex, and intercepts of a quadratic
relation. (I)

7.

Use quadratic functions to model and solve real world problems
involving maxima and minima. (I)

8.

Find the center and radius of a circle. (I)

9.

Perform operations on and form compositions of functions and state the
domain of the resulting function. (I)

10.

Determine graphically and algebraically whether a function is
onetoone, and find the equation for the inverse of a one toone
function. (I, III)

11.

Use translations and reflections to graph relations. (I, III)

12.

Find real and complex zeros of polynomial functions. (II)

13.

Find the vertical and horizontal asymptotes of the graph of a rational
function. (II)

14.

Use the properties of logarithms. (III)

15.

Solve linear and nonlinear systems of equations and inequalities. (IV,
V)

16.

Perform operations on matrices. (V)

17.

Explain the difference between arithmetic and geometric sequences and
series. (VI)

18.

Find a specified term of an arithmetic and a geometric sequence. (VI)

19.

Find the nth partial sum of an arithmetic and geometric series. (VI)

20.

Find the sum of an infinite geometric series. (VI)

21.

Explain the difference between combinations and permutations. (VI)

22.

Evaluate combinations and permutations. (VI)

23.

Use the binomial theorem. (VI)

24.

Model and solve real world problems. (I, II, III, IV, V, VI)

