Functions and Their Properties

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

Identify the domain values from the relation: {(3, 5), (-3, 7), (0, 8), (-6, 4)}.

Back

{-6, -3, 0, 3}

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Is the set of ordered pairs {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, it is a function.

Tags

CCSS.8.F.A.1

Front

Is the set of ordered pairs {(1, 2), (1, 3), (2, 4)} a function?

Back

No, it is not a function.

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the first element and 'y' is the second element.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Tags

CCSS.8.F.A.1

Front

Identify the output for the input x=3 in the function f(x) = 2x + 1.

Back

f(3) = 2(3) + 1 = 7.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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 is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.