Q2 Benchmark Review AFDA Practice (Set #1)

Front

What is the Range of a linear function?

Back

The Range of a linear function is the set of all possible output values (y-values) that the function can produce. For example, for the function with a range of 0 ≤ y ≤ 6, the output values can be any number from 0 to 6.

Front

What defines a function in mathematics?

Back

A relation is defined as a function if each input (x-value) has exactly one output (y-value) associated with it. If an x-value is paired with more than one y-value, it is not a function.

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if it passes the vertical line test, meaning that no vertical line intersects the graph at more than one point.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two variables in a proportional relationship, often expressed in the form y = kx.

Front

Write the equation for a linear function given a table of values.

Back

To write the equation for a linear function from a table, identify the slope (rate of change) and the y-intercept. For example, if the slope is 3 and the y-intercept is 0, the equation is y = 3x.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is associated with multiple y-values. This violates the definition of a function.

Front

How can you find the range of a function from its graph?

Back

To find the range of a function from its graph, identify the lowest and highest points on the y-axis that the graph reaches.

Front

What is the slope of a linear function?

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input is paired with exactly one output.