Identifying Linear Functions Flashcardizz (Day 3 HW)

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its rate of change is not constant.

Front

What does the domain of a function represent?

Back

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

Front

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

Back

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

Front

How do you determine if a function is linear or nonlinear?

Back

A function is linear if it can be expressed in the form f(x) = mx + b. If it cannot, it is nonlinear.

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation f(x) = mx + b.

Front

What does it mean if a function has a domain of {-3, -1, 1, 3, 4}?

Back

It means the function is only defined for the specific x-values of -3, -1, 1, 3, and 4.

Front

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

Back

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

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.