Functions Domain & 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 of a function from its graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

What does it mean for a function to be even?

Back

A function is even if its graph is symmetric with respect to the y-axis, meaning f(x) = f(-x) for all x in the domain.

Front

What does it mean for a function to be odd?

Back

A function is odd if its graph is symmetric with respect to the origin, meaning f(-x) = -f(x) for all x in the domain.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of the function f(t) = 2t + 3?

Back

The domain is all real numbers, or (-∞, ∞), since there are no restrictions on t.

Front

What is the range of the function f(x) = x^2?

Back

The range is [0, ∞) because the output values (y) are always non-negative.

Front

How can you find the domain of a function defined by a fraction?

Back

The domain excludes any values that make the denominator zero.

Front

What is the domain of the function h(x) = √(x - 2)?

Back

The domain is [2, ∞) because the expression under the square root must be non-negative.