Functions, Functions, Functions

Front

What is the definition of a function?

Back

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

Front

Is the function represented by the table linear or nonlinear?

Back

Linear.

Front

Does the table represent a function?

Back

No, there is a repeated x-value.

Front

Is this graph a function or not a function?

Back

Not a Function.

Front

Which set 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)

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What are independent and dependent variables in a function?

Back

Independent variable is the input (x), and dependent variable is the output (y) that depends on the input.

Front

What is a linear function?

Back

A function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a nonlinear function?

Back

A function that does not graph to a straight line, such as quadratic or exponential functions.

Front

What is a domain in a function?

Back

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