Domain and Range of Functions

Front

What is a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Does this mapping diagram represent a function? (Options: No, because there are repeating input values; Yes, because there are no repeating input values)

Back

Yes, because there are no repeating input values.

Front

Which ordered pair below would prevent this table from being a function? (Options: (10, 10), (2, 4), (6, 1), (-2, 0))

Back

(-2, 0) would prevent this table from being a function.

Front

What is the range of the graph? (Options: y≥1, x≥1, All real numbers, none of these)

Back

y≥1.

Front

What is the Domain? (Options: y ≥ 6, -10 ≤ y ≤ 6, -10 ≤ x ≤ 6, All real numbers)

Back

All real numbers.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range. (Options: D: {1, -3, -4,} R: {0, 1, 2, -4}, D: {-4, 0, 1, 2} R: {-4, -3, 1}, D: {0, 1, 2, 3, 4} R: {1, -3, -4}, D: {0, 1, 2, -4} R: {1, -3, -4, 1})

Back

D: {-4, 0, 1, 2} R: {-4, -3, 1}.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is paired with exactly one input value, meaning no two different inputs produce the same output.