Function Tables Practice

Front

What is a function table?

Back

A function table is a chart that shows how each input (x-value) is related to an output (y-value) through a specific function.

Front

What does the equation y = x - 10 represent?

Back

This equation represents a linear function where the output decreases by 10 for each unit increase in the input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents 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 mapping to represent a function?

Back

A mapping represents a function if each input is associated with exactly one output.

Front

What is the significance of the ordered pair (3, 18) in the context of the function y = 6x?

Back

The ordered pair (3, 18) indicates that when x is 3, the output y is 18, which satisfies the equation y = 6x.

Front

What is the definition of a linear function?

Back

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

Front

How do you determine if a graph is a function?

Back

To determine if a graph is a function, use the vertical line test: if any vertical line crosses the graph more than once, it is not a function.

Front

What does the equation y = x ÷ 3 represent?

Back

This equation represents a linear function where the output is one-third of the input.

Front

What is an example of a function that does not pass the vertical line test?

Back

An example is a circle, as a vertical line can intersect it at two points.

Front

What is the output of the function y = x * 3 when x = 4?

Back

The output is y = 4 * 3 = 12.