Intro to Functions - Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the definition of the constant rate of change?

Back

The constant rate of change is the ratio of the change in the output value to the change in the input value, often represented as the slope of a line.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every x-value has exactly one corresponding y-value.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if a table of values represents a function?

Back

It means that for every x-value in the table, there is only one corresponding y-value.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input is zero.

Front

What is an example of a linear function?

Back

An example of a linear function is y = 2x + 3.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function can have multiple outputs for a single input.

Front

How can you identify a function from a graph?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).