8th Grade - Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

Tags

CCSS.8.F.A.1

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from two points?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal and does not rise or fall as it moves along the x-axis.

Tags

CCSS.8.EE.B.5

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 as (0, b) in the equation y = mx + b.

Front

What is the equation of a line with a slope of 1 that passes through the origin?

Back

The equation is y = x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you write an equation for a linear relationship?

Back

To write an equation for a linear relationship, identify the slope and y-intercept, then use the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function does not have a constant rate of change and graphs as a curve.

Tags

CCSS.8.F.A.3

Front

What is the formula for calculating the cost of renting a car with a base fee and a daily charge?

Back

The formula is y = mx + b, where y is the total cost, m is the daily charge, x is the number of days, and b is the base fee.

Front

If a function has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the value of y increases by 2 units.

Tags

CCSS.HSF.LE.B.5