Functions, Domain and Range

Front

What is the domain of the function ƒ(x)=√(x-10)?

Back

[10,∞)

Front

What is the domain of a polynomial function?

Back

(-∞,∞)

Front

Is the relation shown a function? (x-value 11 is paired with 5 and 8)

Back

No, because the x-value 11 is paired with 5 and 8.

Tags

CCSS.8.F.A.1

Front

What is the range of the function that outputs values between -2 and 2?

Back

[-2, 2]

Front

What is the range of the function that outputs values starting from -1 to positive infinity?

Back

[-1, +∞)

Front

Define 'domain' in the context of functions.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Define 'range' in the context of functions.

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function cannot.

Tags

CCSS.8.F.A.1

Front

What is the domain of the function f(x) = 1/(x-3)?

Back

(-∞, 3) ∪ (3, ∞) (x cannot be 3 because it would make the denominator zero).