Identify Functions from a Graph

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.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph is not a function.

Front

What does it mean if a graph is not a function?

Back

If a graph is not a function, it means that at least one input is associated with more than one output.

Front

How can you tell if a graph is a function?

Back

You can tell if a graph is a function by using the vertical line test or by checking if each x-value has only one corresponding y-value.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants, and the graph is a parabola.

Front

What is a discrete function?

Back

A discrete function is a function that only takes on specific values, often represented by distinct points on a graph.

Front

What is a continuous function?

Back

A continuous function is a function that can be graphed with a single unbroken line, meaning it has no gaps or jumps.

Tags

CCSS.HSF-IF.C.7B

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.