Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean for two terms to be like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, but 3x and 3 are not.

Front

What is the x-axis in a graph?

Back

The x-axis is the horizontal line in a graph that represents the independent variable.

Front

What is the y-axis in a graph?

Back

The y-axis is the vertical line in a graph that represents the dependent variable.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value). This can be checked using the vertical line test.

Front

What is the solution to the equation 6(5g + 2) = 30g?

Back

No solution.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7.

Front

What are the coordinates of a point on the x-axis?

Back

The coordinates of a point on the x-axis are of the form (x, 0), where y is always 0.

Front

What are the coordinates of a point on the y-axis?

Back

The coordinates of a point on the y-axis are of the form (0, y), where x is always 0.

Front

What is the slope of a line?

Back

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