Functions & Function Notation

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 corresponding y-value.

Tags

CCSS.8.F.A.1

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols. For example, f(x) represents a function named 'f' evaluated at the input 'x'.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the set of ordered pairs.

Tags

CCSS.8.F.A.1

Front

What does f(5) = 6 mean?

Back

It means that when the input x is 5, the output of the function f is 6.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a 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

If f(x) = 2x + 3, what is f(0)?

Back

f(0) = 3.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = 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 the line represented by the function f(x) = 4x - 1?

Back

The slope is 4.

Tags

CCSS.8.EE.B.5