Topic 3: Lessons 1 & 2 Flashcard - Relations and Functions

Front

What is a function?

Back

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

Front

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function.

Front

What is the definition of a linear function?

Back

Front

Is the function represented by the table linear or nonlinear?

Back

Nonlinear.

Front

Back

The slope is 2.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input has more than one output.

Front

Write a linear function for the table: (1,1), (2,3), (3,5)

Back

Front

What is the value of g(4) if g is defined as: {(2,10),(3,12),(4,14),(5,16)}?

Back

g(4) = 14.

Front

Back

The y-intercept is 3.

Front

How can you determine if a relation is a function from a graph?

Back

A relation is a function if any vertical line drawn on the graph intersects it at most once (Vertical Line Test).