IM1 Lesson 3.3 RSG

Front

What is a discrete function?

Back

A discrete function is a function that is defined only for specific values, often represented as distinct points on a graph.

Front

What is a continuous function?

Back

A continuous function is a function that is defined for all values in an interval, with no breaks or gaps in its graph.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is a positive real number, and 'x' is the exponent.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the domain of a function from a graph?

Back

To find the domain from a graph, identify the x-values for which the graph has points. The domain is the range of these x-values.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and can be represented by a straight line, while a nonlinear function does not have a constant rate of change and can be represented by a curve.

Front

What does it mean for a function to be discontinuous?

Back

A discontinuous function has one or more points where it is not defined or has jumps in its graph.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.