Functions & Function Notation

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 function notation?

Back

Function notation is a way to represent functions using symbols, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

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

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation and simplify.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

Front

What is a constant function?

Back

A constant function is a function that always returns the same value, regardless of the input. It can be represented as f(x) = c, where c is a constant.

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.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input of a function (often x), while the dependent variable is the output (often y) that depends on the input.

Tags

CCSS.6.EE.C.9