1.1 Domain and Range

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is the vertical line test?

Back

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

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

Given f(x) = -4x - 10, find the x when f(x) = 10.

Back

x = -5.

Front

What does it mean for a function to pass the horizontal line test?

Back

If every horizontal line intersects the graph of the function at most once, the function is one-to-one.

Front

If f(x) = 6x^2 - 4, what is f(-1)?

Back

f(-1) = 2.

Front

What is the notation for the domain of f(x) = 6x^2 - 4?

Back

The domain is all real numbers, denoted as (-∞, ∞).

Front

What is the notation for the range of f(x) = 6x^2 - 4?

Back

The range is [-4, ∞).

Front

How do you find the domain of a function given its equation?

Back

Identify any restrictions on x, such as division by zero or square roots of negative numbers.