5.1: Intro to Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the output of the function f(x) = x - 5 when x = 8?

Back

3

Front

What is the output of the function f(x) = 2x + 7 when x = 4?

Back

15

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input has exactly one output.

Front

What is the general form of a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the function f(x) = 2x + 7?

Back

The slope is 2.

Front

What is the y-intercept of the function f(x) = 2x + 7?

Back

The y-intercept is 7.

Front

Is the relation {(1, 2), (2, 3), (1, 4)} a function?

Back

No, because the input 1 is related to two different outputs (2 and 4).

Front

What is the output of the function f(x) = x^2 when x = 3?

Back

9

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.