Algebra 1 Air Test

Front

What is a function in algebra?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you write a function that models a situation?

Back

Identify the initial value and the rate of change. For example, if Emerson starts with $120 and saves $15 each week, the function is f(x) = 120 + 15x.

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

Look for the x-values that the graph covers. The domain includes all x-values where the graph exists.

Front

What is the maximum value of a function?

Back

The maximum value is the highest point on the graph of the function, representing the greatest output value.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the change in y over the change in x (rise/run).

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, b) in the function f(x) = mx + b.

Front

How do you find the y-intercept from a function?

Back

Set x = 0 in the function and solve for f(0). The result is the y-intercept.

Front

What is a constant in a function?

Back

A constant is a fixed value that does not change. In the function f(x) = 120 + 15x, 120 is the constant.