Module 4 NG Flashcard - OPTIONAL extra credit

Front

What is the RANGE of a graph?

Back

The RANGE of a graph is the set of all possible output values (y-values) that the function can produce.

Front

What is the DOMAIN of a graph?

Back

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

Front

What does it mean if a graph has an OPEN circle at a point?

Back

An OPEN circle indicates that the value at that point is not included in the domain or range.

Front

What is a possible domain for the function f(x) = 5x + 15 in a gym scenario?

Back

The possible domain is positive integers, as you cannot attend a negative number of sessions.

Front

If a gym charges a $15 registration fee and $5 per session, how do you represent the total cost?

Back

The total cost can be represented by the function f(x) = 5x + 15, where x is the number of sessions.

Front

What is the difference between a closed interval and an open interval in terms of domain?

Back

A closed interval includes its endpoints (e.g., [a, b]), while an open interval does not include its endpoints (e.g., (a, b)).

Front

How do you determine the range of a function from its graph?

Back

To determine the range, identify the lowest and highest y-values on the graph.

Front

What does it mean for a function to be defined for positive integers?

Back

It means the function only accepts whole numbers greater than zero as input.

Front

If f(x) = -2, how do you find x?

Back

You need to solve the equation f(x) = -2 to find the corresponding x value.

Front

What is the significance of the notation -3 < x < 5?

Back

This notation indicates that x can take any value greater than -3 and less than 5.