Compare Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What does the rate of change represent in a function?

Back

The rate of change indicates how much the output value (y) changes for a given change in the input value (x).

Front

If a function has a rate of change of 4, what does this mean?

Back

For every 1 unit increase in x, the output (y) increases by 4 units.

Front

What is the initial value in a function?

Back

The initial value is the output of the function when the input (x) is zero.

Front

How do you compare the initial values of two functions?

Back

You look at the output values when both functions have the same input, typically when x=0.

Front

Back

It represents a function starting with an initial value of 5 and gaining 2 for every increase of 1 in x.

Front

What is a linear function?

Back

Front

What is the slope of a function?

Back

The slope is the rate of change of the function, indicating how steep the line is.

Front

How can you determine if two functions have the same rate of change?

Back

If the slopes of both functions are equal, they have the same rate of change.

Front

What does it mean if two functions have different initial values?

Back

It means that when both functions are evaluated at x=0, they yield different output values.