Grade 8 Day 2: Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

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 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 does it mean for a graph to be a line?

Back

A graph is a line if it represents a linear function, which can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you identify a linear function from an equation?

Back

A linear function can be identified if the equation can be rearranged into the form y = mx + b, where m and b are constants.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.

Front

How do you express the range of a function using inequalities?

Back

The range can be expressed using inequalities to show the minimum and maximum values of the output (y-values). For example, 0 ≤ y ≤ 20.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

How do you find the domain of a relation?

Back

To find the domain of a relation, list all the first elements (x-values) of the ordered pairs.