Alg1CP Fall Final Exam Review Part 2

Front

What is the domain of a relation?

Back

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

Front

What is a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

How do you solve a compound inequality?

Back

To solve a compound inequality, isolate the variable in the middle and ensure the solution satisfies both parts of the inequality.

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

How do you find the slope between two points?

Back

To find the slope between two points (x1, y1) and (x2, y2), use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the solution set of the inequality -7 < 2x - 5 < 7?

Back

The solution set is -1 < x < 6.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a linear function?

Back

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

Front

How do you determine if a relation is a function using a graph?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, the relation is not a function.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.