Concept 4.1 Flashcard

Front

What is the domain of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

The domain is found by reading the ends of the graph from left to right.

Front

What does it mean if a function has an undefined slope?

Back

An undefined slope indicates a vertical line, where the change in x is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

How do you calculate 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 is the slope of the line that passes through the points (-4, 7) and (-6, -4)?

Back

The slope is 11/2.

Front

What is the range of a function?

Back

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

Front

What does the notation [-2, ∞) represent?

Back

This notation represents the domain of all real numbers greater than or equal to -2.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints, while closed intervals do include their endpoints.

Front

How can you identify the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, where y = 0.