Domain and Range and end behavior

Front

What is the definition of 'domain' in 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 definition of 'range' in 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 domain of the function that measures the depth of a river over 5 days?

Back

Front

Write the range (4, ∞) in set builder notation.

Back

The range in set builder notation is expressed as {y | y > 4}.

Front

What is the domain of a function that models bamboo growth for 4 months at a rate of 3 inches per day?

Back

Front

What is the end behavior of the function f(x) = x^2 as x approaches infinity?

Back

As x approaches infinity, f(x) approaches infinity. The end behavior is that the graph rises to the right.

Front

What is the end behavior of the function f(x) = -x^2 as x approaches negative infinity?

Back

As x approaches negative infinity, f(x) approaches negative infinity. The end behavior is that the graph falls to the left.

Front

How do you determine the range of a quadratic function?

Back

The range of a quadratic function can be determined by finding the vertex and identifying the minimum or maximum value.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2, expressed as {x | x ≠ 2}.

Front

What is the range of the function f(x) = sqrt(x)?

Back

The range is all non-negative real numbers, expressed as [0, ∞).