EOC Flashcard 2

Front

What is the definition of an undefined slope in a graph?

Back

An undefined slope occurs when a line is vertical, meaning it does not have a defined rise over run.

Front

What does the range of a function represent?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the slope of a line from a graph?

Back

The slope is calculated as the change in y divided by the change in x (rise/run) between two points on the line.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) equals zero.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.

Front

What is the significance of the y-intercept in a linear function?

Back

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

Front

How can you identify a linear function from its equation?

Back

A linear function can be identified by its equation in the form f(x) = mx + b, where m is the slope and b is the y-intercept.