Functions, Functions, Functions

Front

What is the definition of a function?

Back

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

Tags

CCSS.8.F.A.1

Front

Is the graph of a function a straight line?

Back

Not necessarily. A graph can be a curve and still represent a function as long as it passes the vertical line test.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

D: {0, 1, 2, -4}, R: {1, -3, -4}.

Front

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

Back

Not a function, because the input 1 has two different outputs (2 and 3).

Tags

CCSS.8.F.A.1

Front

What is a one-to-one function?

Back

A function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

What is a linear function?

Back

A function that can be graphically represented as a straight line, typically in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a quadratic function?

Back

A function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.