Math 4 Unit 2 Piecewise Functions-Flashcard -3B - Makeup

Front

What is a piecewise function?

Back

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

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression to find the function's value.

Front

What does it mean if a function value is undefined?

Back

A function value is undefined if there is no valid output for a given input, often due to restrictions in the function's domain.

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

How do you find the domain restrictions for a piecewise function?

Back

To find domain restrictions, analyze each piece of the function and identify the intervals where each piece is valid.

Front

Evaluate f(x) = 10 for x = 30.

Back

f(30) = 10.

Front

Given the graph of f(x), how do you find f(4)?

Back

Locate x = 4 on the graph and read the corresponding y-value.

Front

Evaluate f(x) at x = 2 if f(x) = -1 for x in [1, 3).

Back

f(2) = -1.

Front

What is the significance of the notation 1 ≤ x < 3 in a piecewise function?

Back

It indicates that the function is defined for values of x starting from 1 up to, but not including, 3.