Domain and Range!

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

How do you determine the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers from left to right.

Front

What does it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that there are x-values that correspond to more than one y-value, indicating that it is not a function.

Front

What is the vertical line test?

Back

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

Front

Given the function {(1,2), (2,3), (3,4)}, what is the domain?

Back

D: {1, 2, 3}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {1, -3, -4}.

Front

What is the domain of the graph if it covers x-values from -5 to 3?

Back

-5 ≤ x ≤ 3.

Front

If a function has the points (2,5) and (2,6), does it represent a function?

Back

No, because the x-value 2 corresponds to two different y-values.

Front

What is an example of a function that has a restricted domain?

Back

f(x) = √x, where the domain is x ≥ 0.