Semester Exam 2024 Flashcard 1

Front

What is the equation for calculating the total cost of a holiday church meal?

Back

f(x) = 30 + 12.5x, where x is the number of people.

Front

What is the domain of the function f(x) = 30 + 12.5x when x represents the number of people?

Back

The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Back

The slope is -\frac{3}{2}.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y) for the function.

Front

What does it mean if a function is linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.