MAC1105

Students will solve an equation or an inequality using an appropriate technique

Students will define and describe functions, their properties, and graphs

Students will manipulate functions to simplify expressions and find new functions

Students will use transformations to write an equation for a function and to graph a function

Students will model and solve real world problems using functions, solve equations involving linear, quadratic, rational, radical, exponential, and logarithmic expressions

The student will find the domain and range of a relation and determine whether or not the relation is a function, and if it is a function, evaluate the function at a given number in its domain or at a given algebraic expression

The student will determine whether a function has an inverse, find the inverse function, graph the inverse function, and describe the relationship between the graph of the original function and that of its inverse.

The student will perform rigid and non-rigid transformations on the graph of a given function.

The student will add, subtract, multiply, and divide functions, and compute the composition of two functions and determine the domain of the resulting sum, difference, product, quotient, or composite function.

The student will identify, graph, determine domain and range, and solve applications involving linear, quadratic, rational, radical, exponential, and logarithmic functions.

The student will solve systems of linear equations and inequalities and applications thereof. the student will solve applications such as curve fitting, modeling, optimization, exponential and logarithmic growth and decay.