Math 8: Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Tags

CCSS.8.F.A.1

Front

What is the definition of rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. In functions, it is often represented as the slope of the line.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value). You can use the vertical line test on a graph to check this.

Front

What does the vertical line test indicate?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has 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 the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It is often represented as 'm' in the equation of a line.

Tags

CCSS.8.EE.B.5

Front

What does it mean for a function to have a constant slope?

Back

A function has a constant slope if the rate of change between any two points on the line is the same, indicating a linear relationship.

Tags

CCSS.HSF-LE.A.1B

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.

Tags

CCSS.8.F.A.1

Front

What is an example of a linear equation?

Back

An example of a linear equation is y = 2x + 3, which represents a straight line on a graph.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the equation y = mx + b.