Fall CA 24 Alg Review

Front

What is the domain of a function, and how is it determined in a real-world context?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. In a real-world context, it is determined by the constraints of the situation, such as the number of items that can be purchased.

Front

Given the function f(n) = 12 - 1.25n, what does n represent in this context?

Back

In this context, n represents the number of snacks Tiffany purchases.

Front

What is the range of a function, and how is it determined?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce. It is determined by evaluating the function at all values in the domain.

Front

How do you calculate the total cost using a linear function?

Back

To calculate the total cost using a linear function, substitute the number of items (x) into the function and solve for the total cost (f(x)).

Front

What does it mean for two variables to be directly proportional?

Back

Two variables are directly proportional if they increase or decrease together at a constant rate, meaning their ratio remains constant.

Front

If y is directly proportional to x and y = 0.8 when x = 20, what is the constant of proportionality?

Back

The constant of proportionality is k = y/x = 0.8/20 = 0.04.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine the graph of a linear equation?

Back

To determine the graph of a linear equation, you can find the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point.

Front

What does the equation -3x + 2y = -10 represent in terms of a graph?

Back

The equation -3x + 2y = -10 represents a straight line on a coordinate plane.