Fall CA 24 Alg Review

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a table represents y as a function of x?

Back

A table represents y as a function of x if each x-value corresponds to exactly one y-value.

Front

What does the slope of a linear function represent?

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

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

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

In the context of a real-world problem, how do you determine the domain of a function?

Back

The domain is determined by the context of the problem, considering any restrictions on the input values.

Front

What does the term 'rate of change' refer to in a linear function?

Back

The rate of change refers to how much y changes for a unit change in x, represented by the slope.

Front

How do you find the slope from a linear equation in slope-intercept form?

Back

The slope can be found directly from the equation in slope-intercept form as the coefficient of x.