Functions EOG Review

Front

What is a function?

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

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, indicating a constant rate of change.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x is 0.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a relation is a function; if any vertical line intersects the graph more than once, it is not a function.

Front

What does it mean for a function to be non-linear?

Back

A non-linear function is a function that does not create a straight line when graphed, indicating a variable rate of change.

Front

What is an example of a non-linear function?

Back

An example of a non-linear function is y = x^2, which graphs as a parabola.

Front

What is a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.