12/17 8.15 & 8.16 Practice Test

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets of values, known as the domain and range.

Front

Define domain in the context of a function.

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

Define range in the context of a function.

Back

The range of a function is the complete set of possible values of the dependent variable (output) that result from using the function.

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is the purpose of creating a table of values for a linear equation?

Back

A table of values helps to organize and visualize the relationship between the x and y values, making it easier to graph the equation.

Front

What is the significance of the equation 2x + 3y = 9?

Back

This equation represents a linear relationship between x and y, and can be used to find specific values of y for given x values.

Front

How can you determine the domain from a graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).