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Front

What is the definition of RANGE in mathematics?

Back

The RANGE of a function is the set of all possible output values (y-values) that result from using the function.

Front

What is the RANGE of the function f(x) = 2x - 3?

Back

The RANGE is all real numbers, denoted as \( (-\infty, \infty) \).

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

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.

Front

Evaluate f(x) = -2x + 13 for f(10).

Back

f(10) = -7.

Front

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function because each input has a unique output.

Front

Is the relation {(4,5), (4,-7), (4,2), (4,0), (4,9)} a function?

Back

No, it is not a function because the input 4 has multiple outputs.

Front

What is the notation for the RANGE of a function?

Back

The RANGE is often denoted using interval notation, such as \( [a, b] \) or \( (-\infty, b) \).

Front

What does it mean if a function is not a function?

Back

It means that there exists at least one input that corresponds to multiple outputs.

Front

Evaluate f(x) = 3x + 1 for f(-1).

Back

f(-1) = -2.