STRT LRN MTH Final Review

Front

What is the Constant Rate of Change?

Back

The Constant Rate of Change is the rate at which one quantity changes in relation to another. It is often represented as the slope of a line in a graph. For example, if a car travels -10 ft per second, it indicates a decrease in position over time.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined. For example, if a function is defined for all real numbers except 0, then the domain excludes 0.

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph intersects the x-axis. At this point, the value of y is zero. For example, if a graph has an x-intercept of 3, it means the point (3, 0) is on the graph.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph intersects the y-axis. At this point, the value of x is zero. For example, if a graph has a y-intercept of -1, it means the point (0, -1) is on the graph.

Front

What does it mean for a function to have a domain of all real numbers greater than or equal to -7 and less than 2?

Back

It means that the function is defined for all values of x starting from -7 up to, but not including, 2. This can be written in interval notation as [-7, 2).

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that the function can output. For example, if a function has a range of all real numbers greater than or equal to -6, it means y can take any value from -6 upwards.

Front

How do you determine if a graph represents a function?

Back

You can use the Vertical Line Test: if a vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness and is calculated as the change in y divided by the change in x (rise/run). A positive slope indicates the line rises, while a negative slope indicates it falls.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) values increase, the output (y) values also increase. This is represented by a graph that moves upwards from left to right.