8th Grade Math Functions Review

Front

What is a function in mathematics?

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

How can you determine if a set of values represents a function?

Back

A set of values represents a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Tags

CCSS.8.F.A.1

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the ratio of the change in the output value to the change in the input value, often represented as 'rise over run'.

Tags

CCSS.HSF-LE.A.1B

Front

What does the initial value of a linear equation represent?

Back

The initial value of a linear equation represents the y-intercept, which is the value of y when x is 0.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line given a rate of change and an initial value?

Back

The equation of a line can be written in the form y = mx + b, where m is the rate of change and b is the initial value.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3, which indicates a rate of change of 3 units in y for every 1 unit increase in x.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the output value when the input is zero.

Front

How can you identify a function from a graph?

Back

You can identify a function from a graph using the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the formula for calculating the total cost in a service-based business?

Back

The total cost can be calculated using the formula: Total Cost = (Hourly Rate * Hours Worked) + Fixed Fees.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a graph to be 'not a function'?

Back

A graph is 'not a function' if there are multiple outputs (y-values) for a single input (x-value).