Unit 2 Flashcard 2. Piece Wise Functions

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

Front

How do you determine if two graphs are inverses?

Back

Two graphs are inverses if the points (a, b) on one graph correspond to the points (b, a) on the other graph.

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

How do you find the value of a function at a specific point, f(a)?

Back

To find f(a), substitute 'a' into the function's equation and simplify.

Front

What does the notation f(g(x)) represent?

Back

The notation f(g(x)) represents the composition of two functions, where g(x) is evaluated first and then f is applied to that result.

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

How do you find the inverse of a function algebraically?

Back

To find the inverse of a function, swap the x and y variables in the equation and solve for y.

Front

What is the significance of the slope in a linear function?

Back

The slope of a linear function indicates the rate of change of the function; it represents how much y changes for a unit change in x.

Front

What is a linear function?

Back

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

Front

How do you evaluate a function at a given point?

Back

To evaluate a function at a given point, substitute the x-value into the function's equation and calculate the corresponding y-value.