1.1 B precalc

Front

What is the domain of a function?

Back

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

Front

What does the vertical line test determine?

Back

It determines whether 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 g(x) = √(x+5)?

Back

x ≥ -5, because the expression under the square root must be non-negative.

Front

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

Back

y ≥ 0, since the square of any real number is non-negative.

Front

What is a function?

Back

A relation where each input (x) has exactly one output (y).

Front

What is the difference between domain and range?

Back

Domain refers to the set of possible input values, while range refers to the set of possible output values.

Front

How do you find the domain of a function involving a square root?

Back

Set the expression inside the square root greater than or equal to zero and solve for x.

Front

What is an example of a function that is not a function?

Back

A circle, because a vertical line can intersect it at two points.

Front

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

Back

All real numbers except x = 2, because the function is undefined at that point.

Front

What is the range of the function f(x) = 3x + 2?

Back

All real numbers, since it is a linear function.