MVP Math 1 Module 3 Key Features/Interval Notation

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 based on its domain.

Front

What does the notation y ≥ -4 represent?

Back

This notation indicates that the output value (y) of the function is greater than or equal to -4.

Front

What is a y-intercept?

Back

A y-intercept is the point where a graph intersects the y-axis, represented as (0, y).

Front

Identify the y-intercept of the point (0, 4).

Back

The y-intercept is (0, 4), meaning the function crosses the y-axis at y = 4.

Front

What is domain in the context of functions?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What does the interval notation -8 < x < 6 mean?

Back

This notation indicates that the domain includes all real numbers greater than -8 and less than 6.

Front

What is the range of a function represented in interval notation?

Back

The range in interval notation shows the set of output values, for example, [-5, 3] means y can take any value from -5 to 3, inclusive.

Front

What does the notation all real numbers mean?

Back

This means that the function can output any value from negative infinity to positive infinity.

Front

How do you express the range of a function that outputs any real number greater than zero?

Back

The range can be expressed in interval notation as (0, ∞).

Front

What is the difference between open and closed intervals?

Back

Open intervals (e.g., (a, b)) do not include endpoints, while closed intervals (e.g., [a, b]) include endpoints.