Exercise Set 1.4: Operations on Functions

Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.

Explore logarithmic functions, and have pupils solve 10 different problems that include various logarithmic functions. First, they find the domain of a given function and then the range. They also consider a graph that has a limited...

In this functions activity, students solve 70 short answer questions. Students find domain of functions and evaluate them for a given value. Students determine if a mapping diagram represents a function.

Sets, relations, functions, and graphing linear equations are practiced in this challenging learning exercise. The class determines if a relation is a function or not and find the functional value of a domain element. The one page...

Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...

Calculating domain and range of a function is a challenge! A helpful video shows learners the steps to finding the domain and estimating the range algebraically. Scholars understand the relationship of the domain and range. 

After defining a simple function from a word problem, a short video shows how to find its domain and range. The instruction reinforces the definitions of domain and range with a concrete example.

This video explores a listener's example of a function. You are given the composite function and one function, and you must find the other function.

Sal draws a graphical representation of a function, f(x), and builds and evaluates other functions based on that function.

Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...