Characteristics of Functions

Front

What are all of the y values or outputs of a function called?

Back

Range

Front

What is the y-intercept of the function if the equation is y = 2x + 3?

Back

3

Front

Is the relation a function if the x-value 11 has two y-values paired with it?

Back

No, because the x-value 11 has two y-values paired with it.

Front

Determine the interval in which the function is DECREASING: f(x) = -2x + 1.

Back

(-∞, -3)

Front

Identify the increasing interval for the function f(x) = x^2 - 1.

Back

(-1, 1)

Front

What is the definition of a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What does the domain of a function represent?

Back

The set of all possible input values (x-values) for the function.

Front

What does the range of a function represent?

Back

The set of all possible output values (y-values) for the function.

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form y = mx + b.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, calculated as rise over run.