Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

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, typically in the form f(x) = mx + b.

Front

What is a nonlinear function?

Back

A function that does not form a straight line when graphed; it may curve or have varying slopes.

Front

If f(x) = 2x + 1, what is f(6)?

Back

13

Front

How do you determine if a relation is a function using a table?

Back

Check if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the output of f(x) = 2x + 1 when x = 4?

Back

9

Front

What is the slope in a linear function?

Back

The slope (m) represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept (b) is the value of y when x = 0; it is where the line crosses the y-axis.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.