Comparing Functions

Front

What is a function?

Back

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

Front

Which of the following represents a function?

Back

A function can be represented by a table where each x-value corresponds to only one y-value.

Front

What does the term 'rate of change' refer to?

Back

The rate of change describes how much a quantity changes in relation to another quantity, often represented as the slope in a linear function.

Front

How do you determine the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0, found by substituting x=0 into the equation.

Front

What is the slope of the line represented by the equation y = 3x - 1?

Back

The slope is 3, indicating that for every 1 unit increase in x, y increases by 3 units.

Front

If a function has an input of 2 and an output of 5, what is the function's rule?

Back

The function's rule could be expressed as f(x) = 2.5x + 0, where f(2) = 5.

Front

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

Back

A function has a unique output for each input, while a non-function may have multiple outputs for the same input.

Front

What does it mean for two functions to have the same rate of change?

Back

It means that the slopes of the two functions are equal, indicating they rise or fall at the same rate.

Front

How can you tell if a table of values represents a function?

Back

Check if any x-value is repeated; if it is, the table does not represent a function.

Front

What is the y-intercept of the equation y = 1/2x + 1?

Back

The y-intercept is 1, which is the value of y when x = 0.