Key Features of Functions Review

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 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.

Front

What does it mean for a function to have a maximum?

Back

A function has a maximum at a point if the value of the function at that point is greater than or equal to the values of the function at all other points in its domain.

Front

What does it mean for a function to have a minimum?

Back

A function has a minimum at a point if the value of the function at that point is less than or equal to the values of the function at all other points in its domain.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation 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 y-intercept of a function?

Back

The y-intercept of a function is the point where the graph of the function intersects the y-axis, represented as (0, f(0)).

Front

What is the difference between increasing and decreasing functions?

Back

An increasing function is one where the output values rise as the input values increase, while a decreasing function is one where the output values fall as the input values increase.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.